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Finding the Fourth Proportional to 149.90, 224.68 and 89.08

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Solution

The fourth proportional to 149.90, 224.68 and 89.08 is: 133.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.90 : 224.68 = 89.08 : x
  2. Step 2: Convert to fraction form
    149.90/224.68 = 89.08/x
  3. Step 3: Cross multiply
    149.90x = 224.68 × 89.08
  4. Step 4: Simplify right side
    149.90x = 20,014.49
  5. Step 5: Solve for x
    x = 20,014.49/149.90
  6. Step 6: Final answer
    x = 133.52

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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.