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Finding the Fourth Proportional to 476.29, 657.10 and 279.73

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Solution

The fourth proportional to 476.29, 657.10 and 279.73 is: 385.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.29 : 657.10 = 279.73 : x
  2. Step 2: Convert to fraction form
    476.29/657.10 = 279.73/x
  3. Step 3: Cross multiply
    476.29x = 657.10 × 279.73
  4. Step 4: Simplify right side
    476.29x = 183,810.58
  5. Step 5: Solve for x
    x = 183,810.58/476.29
  6. Step 6: Final answer
    x = 385.92

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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.