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Finding the Fourth Proportional to 542.77, 749.18 and 321.77

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Solution

The fourth proportional to 542.77, 749.18 and 321.77 is: 444.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.77 : 749.18 = 321.77 : x
  2. Step 2: Convert to fraction form
    542.77/749.18 = 321.77/x
  3. Step 3: Cross multiply
    542.77x = 749.18 × 321.77
  4. Step 4: Simplify right side
    542.77x = 241,066.33
  5. Step 5: Solve for x
    x = 241,066.33/542.77
  6. Step 6: Final answer
    x = 444.14

Related Problems

Find fourth proportional to 271.38, 374.59 and 160.89
Half scale
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Double scale
Find fourth proportional to 543.77, 750.56 and 322.77
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.