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Finding the Fourth Proportional to 153.28, 230.28 and 150.76

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Solution

The fourth proportional to 153.28, 230.28 and 150.76 is: 226.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.28 : 230.28 = 150.76 : x
  2. Step 2: Convert to fraction form
    153.28/230.28 = 150.76/x
  3. Step 3: Cross multiply
    153.28x = 230.28 × 150.76
  4. Step 4: Simplify right side
    153.28x = 34,717.01
  5. Step 5: Solve for x
    x = 34,717.01/153.28
  6. Step 6: Final answer
    x = 226.49

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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.