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Finding the Fourth Proportional to 150.78, 226.18 and 65.28

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Solution

The fourth proportional to 150.78, 226.18 and 65.28 is: 97.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.78 : 226.18 = 65.28 : x
  2. Step 2: Convert to fraction form
    150.78/226.18 = 65.28/x
  3. Step 3: Cross multiply
    150.78x = 226.18 × 65.28
  4. Step 4: Simplify right side
    150.78x = 14,765.03
  5. Step 5: Solve for x
    x = 14,765.03/150.78
  6. Step 6: Final answer
    x = 97.92

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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.