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Finding the Fourth Proportional to 141.53, 212.18 and 77.40

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Solution

The fourth proportional to 141.53, 212.18 and 77.40 is: 116.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.53 : 212.18 = 77.40 : x
  2. Step 2: Convert to fraction form
    141.53/212.18 = 77.40/x
  3. Step 3: Cross multiply
    141.53x = 212.18 × 77.40
  4. Step 4: Simplify right side
    141.53x = 16,422.35
  5. Step 5: Solve for x
    x = 16,422.35/141.53
  6. Step 6: Final answer
    x = 116.04

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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.