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Finding the Fourth Proportional to 141.58, 212.45 and 76.58

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Solution

The fourth proportional to 141.58, 212.45 and 76.58 is: 114.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.58 : 212.45 = 76.58 : x
  2. Step 2: Convert to fraction form
    141.58/212.45 = 76.58/x
  3. Step 3: Cross multiply
    141.58x = 212.45 × 76.58
  4. Step 4: Simplify right side
    141.58x = 16,269.42
  5. Step 5: Solve for x
    x = 16,269.42/141.58
  6. Step 6: Final answer
    x = 114.91

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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.