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Finding the Fourth Proportional to 153.72, 229.95 and 140.21

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Solution

The fourth proportional to 153.72, 229.95 and 140.21 is: 209.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.72 : 229.95 = 140.21 : x
  2. Step 2: Convert to fraction form
    153.72/229.95 = 140.21/x
  3. Step 3: Cross multiply
    153.72x = 229.95 × 140.21
  4. Step 4: Simplify right side
    153.72x = 32,240.14
  5. Step 5: Solve for x
    x = 32,240.14/153.72
  6. Step 6: Final answer
    x = 209.73

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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.