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Finding the Fourth Proportional to 317.43, 476.30 and 272.47

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Solution

The fourth proportional to 317.43, 476.30 and 272.47 is: 408.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.43 : 476.30 = 272.47 : x
  2. Step 2: Convert to fraction form
    317.43/476.30 = 272.47/x
  3. Step 3: Cross multiply
    317.43x = 476.30 × 272.47
  4. Step 4: Simplify right side
    317.43x = 129,777.46
  5. Step 5: Solve for x
    x = 129,777.46/317.43
  6. Step 6: Final answer
    x = 408.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.