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Finding the Fourth Proportional to 542.75, 748.99 and 306.71

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Solution

The fourth proportional to 542.75, 748.99 and 306.71 is: 423.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.75 : 748.99 = 306.71 : x
  2. Step 2: Convert to fraction form
    542.75/748.99 = 306.71/x
  3. Step 3: Cross multiply
    542.75x = 748.99 × 306.71
  4. Step 4: Simplify right side
    542.75x = 229,718.21
  5. Step 5: Solve for x
    x = 229,718.21/542.75
  6. Step 6: Final answer
    x = 423.25

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Find fourth proportional to 271.38, 374.49 and 153.35
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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.