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Finding the Fourth Proportional to 153.52, 212.12 and 140.56

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Solution

The fourth proportional to 153.52, 212.12 and 140.56 is: 194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.52 : 212.12 = 140.56 : x
  2. Step 2: Convert to fraction form
    153.52/212.12 = 140.56/x
  3. Step 3: Cross multiply
    153.52x = 212.12 × 140.56
  4. Step 4: Simplify right side
    153.52x = 29,815.59
  5. Step 5: Solve for x
    x = 29,815.59/153.52
  6. Step 6: Final answer
    x = 194.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.