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Finding the Fourth Proportional to 149.64, 225.47 and 123.18

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Solution

The fourth proportional to 149.64, 225.47 and 123.18 is: 185.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.64 : 225.47 = 123.18 : x
  2. Step 2: Convert to fraction form
    149.64/225.47 = 123.18/x
  3. Step 3: Cross multiply
    149.64x = 225.47 × 123.18
  4. Step 4: Simplify right side
    149.64x = 27,772.27
  5. Step 5: Solve for x
    x = 27,772.27/149.64
  6. Step 6: Final answer
    x = 185.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.