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Finding the Fourth Proportional to 141.79, 212.23 and 76.64

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Solution

The fourth proportional to 141.79, 212.23 and 76.64 is: 114.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.79 : 212.23 = 76.64 : x
  2. Step 2: Convert to fraction form
    141.79/212.23 = 76.64/x
  3. Step 3: Cross multiply
    141.79x = 212.23 × 76.64
  4. Step 4: Simplify right side
    141.79x = 16,264.05
  5. Step 5: Solve for x
    x = 16,264.05/141.79
  6. Step 6: Final answer
    x = 114.70

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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.