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Finding the Fourth Proportional to 153.72, 229.38 and 138.45

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Solution

The fourth proportional to 153.72, 229.38 and 138.45 is: 206.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.72 : 229.38 = 138.45 : x
  2. Step 2: Convert to fraction form
    153.72/229.38 = 138.45/x
  3. Step 3: Cross multiply
    153.72x = 229.38 × 138.45
  4. Step 4: Simplify right side
    153.72x = 31,757.66
  5. Step 5: Solve for x
    x = 31,757.66/153.72
  6. Step 6: Final answer
    x = 206.59

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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.