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Finding the Fourth Proportional to 477.69, 659.17 and 281.17

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Solution

The fourth proportional to 477.69, 659.17 and 281.17 is: 387.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.69 : 659.17 = 281.17 : x
  2. Step 2: Convert to fraction form
    477.69/659.17 = 281.17/x
  3. Step 3: Cross multiply
    477.69x = 659.17 × 281.17
  4. Step 4: Simplify right side
    477.69x = 185,338.83
  5. Step 5: Solve for x
    x = 185,338.83/477.69
  6. Step 6: Final answer
    x = 387.99

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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.