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Finding the Fourth Proportional to 153.40, 229.20 and 150.52

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Solution

The fourth proportional to 153.40, 229.20 and 150.52 is: 224.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.40 : 229.20 = 150.52 : x
  2. Step 2: Convert to fraction form
    153.40/229.20 = 150.52/x
  3. Step 3: Cross multiply
    153.40x = 229.20 × 150.52
  4. Step 4: Simplify right side
    153.40x = 34,499.18
  5. Step 5: Solve for x
    x = 34,499.18/153.40
  6. Step 6: Final answer
    x = 224.90

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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.