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Finding the Fourth Proportional to 307.20, 460.61 and 142.70

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Solution

The fourth proportional to 307.20, 460.61 and 142.70 is: 213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.20 : 460.61 = 142.70 : x
  2. Step 2: Convert to fraction form
    307.20/460.61 = 142.70/x
  3. Step 3: Cross multiply
    307.20x = 460.61 × 142.70
  4. Step 4: Simplify right side
    307.20x = 65,726.03
  5. Step 5: Solve for x
    x = 65,726.03/307.20
  6. Step 6: Final answer
    x = 213.95

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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.