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Finding the Fourth Proportional to 149.63, 224.15 and 123.89

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Solution

The fourth proportional to 149.63, 224.15 and 123.89 is: 185.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.63 : 224.15 = 123.89 : x
  2. Step 2: Convert to fraction form
    149.63/224.15 = 123.89/x
  3. Step 3: Cross multiply
    149.63x = 224.15 × 123.89
  4. Step 4: Simplify right side
    149.63x = 27,768.20
  5. Step 5: Solve for x
    x = 27,768.20/149.63
  6. Step 6: Final answer
    x = 185.59

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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.