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Finding the Fourth Proportional to 542.75, 748.93 and 306.72

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Solution

The fourth proportional to 542.75, 748.93 and 306.72 is: 423.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.75 : 748.93 = 306.72 : x
  2. Step 2: Convert to fraction form
    542.75/748.93 = 306.72/x
  3. Step 3: Cross multiply
    542.75x = 748.93 × 306.72
  4. Step 4: Simplify right side
    542.75x = 229,716.07
  5. Step 5: Solve for x
    x = 229,716.07/542.75
  6. Step 6: Final answer
    x = 423.24

Related Problems

Find fourth proportional to 271.38, 374.47 and 153.36
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Double scale
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Similar ratio
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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.