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Finding the Fourth Proportional to 476.17, 657.01 and 279.61

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Solution

The fourth proportional to 476.17, 657.01 and 279.61 is: 385.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.17 : 657.01 = 279.61 : x
  2. Step 2: Convert to fraction form
    476.17/657.01 = 279.61/x
  3. Step 3: Cross multiply
    476.17x = 657.01 × 279.61
  4. Step 4: Simplify right side
    476.17x = 183,705.27
  5. Step 5: Solve for x
    x = 183,705.27/476.17
  6. Step 6: Final answer
    x = 385.80

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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.