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Finding the Fourth Proportional to 534.91, 738.18 and 313.86

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Solution

The fourth proportional to 534.91, 738.18 and 313.86 is: 433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.91 : 738.18 = 313.86 : x
  2. Step 2: Convert to fraction form
    534.91/738.18 = 313.86/x
  3. Step 3: Cross multiply
    534.91x = 738.18 × 313.86
  4. Step 4: Simplify right side
    534.91x = 231,685.17
  5. Step 5: Solve for x
    x = 231,685.17/534.91
  6. Step 6: Final answer
    x = 433.13

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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.