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Finding the Fourth Proportional to 307.52, 460.87 and 124.70

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Solution

The fourth proportional to 307.52, 460.87 and 124.70 is: 186.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.52 : 460.87 = 124.70 : x
  2. Step 2: Convert to fraction form
    307.52/460.87 = 124.70/x
  3. Step 3: Cross multiply
    307.52x = 460.87 × 124.70
  4. Step 4: Simplify right side
    307.52x = 57,468.18
  5. Step 5: Solve for x
    x = 57,468.18/307.52
  6. Step 6: Final answer
    x = 186.88

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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.