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Finding the Fourth Proportional to 476.41, 714.27 and 151.73

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Solution

The fourth proportional to 476.41, 714.27 and 151.73 is: 227.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.41 : 714.27 = 151.73 : x
  2. Step 2: Convert to fraction form
    476.41/714.27 = 151.73/x
  3. Step 3: Cross multiply
    476.41x = 714.27 × 151.73
  4. Step 4: Simplify right side
    476.41x = 108,376.19
  5. Step 5: Solve for x
    x = 108,376.19/476.41
  6. Step 6: Final answer
    x = 227.49

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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.