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Finding the Fourth Proportional to 141.66, 212.55 and 77.53

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Solution

The fourth proportional to 141.66, 212.55 and 77.53 is: 116.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.66 : 212.55 = 77.53 : x
  2. Step 2: Convert to fraction form
    141.66/212.55 = 77.53/x
  3. Step 3: Cross multiply
    141.66x = 212.55 × 77.53
  4. Step 4: Simplify right side
    141.66x = 16,479.00
  5. Step 5: Solve for x
    x = 16,479.00/141.66
  6. Step 6: Final answer
    x = 116.33

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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.