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Finding the Fourth Proportional to 141.49, 212.21 and 38.78

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Solution

The fourth proportional to 141.49, 212.21 and 38.78 is: 58.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.49 : 212.21 = 38.78 : x
  2. Step 2: Convert to fraction form
    141.49/212.21 = 38.78/x
  3. Step 3: Cross multiply
    141.49x = 212.21 × 38.78
  4. Step 4: Simplify right side
    141.49x = 8,228.25
  5. Step 5: Solve for x
    x = 8,228.25/141.49
  6. Step 6: Final answer
    x = 58.16

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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.