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Finding the Fourth Proportional to 150.78, 225.98 and 59.42

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Solution

The fourth proportional to 150.78, 225.98 and 59.42 is: 89.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.78 : 225.98 = 59.42 : x
  2. Step 2: Convert to fraction form
    150.78/225.98 = 59.42/x
  3. Step 3: Cross multiply
    150.78x = 225.98 × 59.42
  4. Step 4: Simplify right side
    150.78x = 13,427.73
  5. Step 5: Solve for x
    x = 13,427.73/150.78
  6. Step 6: Final answer
    x = 89.06

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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.