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Finding the Fourth Proportional to 487.24, 731.08 and 179.02

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Solution

The fourth proportional to 487.24, 731.08 and 179.02 is: 268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.24 : 731.08 = 179.02 : x
  2. Step 2: Convert to fraction form
    487.24/731.08 = 179.02/x
  3. Step 3: Cross multiply
    487.24x = 731.08 × 179.02
  4. Step 4: Simplify right side
    487.24x = 130,879.67
  5. Step 5: Solve for x
    x = 130,879.67/487.24
  6. Step 6: Final answer
    x = 268.61

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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.