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Finding the Fourth Proportional to 141.95, 214.17 and 141.57

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Solution

The fourth proportional to 141.95, 214.17 and 141.57 is: 213.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.95 : 214.17 = 141.57 : x
  2. Step 2: Convert to fraction form
    141.95/214.17 = 141.57/x
  3. Step 3: Cross multiply
    141.95x = 214.17 × 141.57
  4. Step 4: Simplify right side
    141.95x = 30,320.52
  5. Step 5: Solve for x
    x = 30,320.52/141.95
  6. Step 6: Final answer
    x = 213.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.