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Finding the Fourth Proportional to 542.98, 749.64 and 366.19

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Solution

The fourth proportional to 542.98, 749.64 and 366.19 is: 505.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.98 : 749.64 = 366.19 : x
  2. Step 2: Convert to fraction form
    542.98/749.64 = 366.19/x
  3. Step 3: Cross multiply
    542.98x = 749.64 × 366.19
  4. Step 4: Simplify right side
    542.98x = 274,510.67
  5. Step 5: Solve for x
    x = 274,510.67/542.98
  6. Step 6: Final answer
    x = 505.56

Related Problems

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Half scale
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Double scale
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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.