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Finding the Fourth Proportional to 141.95, 212.13 and 105.47

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Solution

The fourth proportional to 141.95, 212.13 and 105.47 is: 157.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.95 : 212.13 = 105.47 : x
  2. Step 2: Convert to fraction form
    141.95/212.13 = 105.47/x
  3. Step 3: Cross multiply
    141.95x = 212.13 × 105.47
  4. Step 4: Simplify right side
    141.95x = 22,372.29
  5. Step 5: Solve for x
    x = 22,372.29/141.95
  6. Step 6: Final answer
    x = 157.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.