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Finding the Fourth Proportional to 141.14, 212.56 and 123.32

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Solution

The fourth proportional to 141.14, 212.56 and 123.32 is: 185.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.14 : 212.56 = 123.32 : x
  2. Step 2: Convert to fraction form
    141.14/212.56 = 123.32/x
  3. Step 3: Cross multiply
    141.14x = 212.56 × 123.32
  4. Step 4: Simplify right side
    141.14x = 26,212.90
  5. Step 5: Solve for x
    x = 26,212.90/141.14
  6. Step 6: Final answer
    x = 185.72

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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.