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Finding the Fourth Proportional to 153.20, 229.78 and 109.72

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Solution

The fourth proportional to 153.20, 229.78 and 109.72 is: 164.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.20 : 229.78 = 109.72 : x
  2. Step 2: Convert to fraction form
    153.20/229.78 = 109.72/x
  3. Step 3: Cross multiply
    153.20x = 229.78 × 109.72
  4. Step 4: Simplify right side
    153.20x = 25,211.46
  5. Step 5: Solve for x
    x = 25,211.46/153.20
  6. Step 6: Final answer
    x = 164.57

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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.