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Finding the Fourth Proportional to 141.47, 212.20 and 50.17

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Solution

The fourth proportional to 141.47, 212.20 and 50.17 is: 75.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.47 : 212.20 = 50.17 : x
  2. Step 2: Convert to fraction form
    141.47/212.20 = 50.17/x
  3. Step 3: Cross multiply
    141.47x = 212.20 × 50.17
  4. Step 4: Simplify right side
    141.47x = 10,646.10
  5. Step 5: Solve for x
    x = 10,646.10/141.47
  6. Step 6: Final answer
    x = 75.25

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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.