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Finding the Fourth Proportional to 150.17, 225.56 and 98.92

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Solution

The fourth proportional to 150.17, 225.56 and 98.92 is: 148.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.17 : 225.56 = 98.92 : x
  2. Step 2: Convert to fraction form
    150.17/225.56 = 98.92/x
  3. Step 3: Cross multiply
    150.17x = 225.56 × 98.92
  4. Step 4: Simplify right side
    150.17x = 22,312.08
  5. Step 5: Solve for x
    x = 22,312.08/150.17
  6. Step 6: Final answer
    x = 148.58

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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.