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Finding the Fourth Proportional to 487.28, 731.00 and 179.19

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Solution

The fourth proportional to 487.28, 731.00 and 179.19 is: 268.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.28 : 731.00 = 179.19 : x
  2. Step 2: Convert to fraction form
    487.28/731.00 = 179.19/x
  3. Step 3: Cross multiply
    487.28x = 731.00 × 179.19
  4. Step 4: Simplify right side
    487.28x = 130,988.34
  5. Step 5: Solve for x
    x = 130,988.34/487.28
  6. Step 6: Final answer
    x = 268.81

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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.