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Finding the Fourth Proportional to 141.28, 212.74 and 123.46

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Solution

The fourth proportional to 141.28, 212.74 and 123.46 is: 185.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.28 : 212.74 = 123.46 : x
  2. Step 2: Convert to fraction form
    141.28/212.74 = 123.46/x
  3. Step 3: Cross multiply
    141.28x = 212.74 × 123.46
  4. Step 4: Simplify right side
    141.28x = 26,264.88
  5. Step 5: Solve for x
    x = 26,264.88/141.28
  6. Step 6: Final answer
    x = 185.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.