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Finding the Fourth Proportional to 149.64, 205.47 and 129.60

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Solution

The fourth proportional to 149.64, 205.47 and 129.60 is: 177.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.64 : 205.47 = 129.60 : x
  2. Step 2: Convert to fraction form
    149.64/205.47 = 129.60/x
  3. Step 3: Cross multiply
    149.64x = 205.47 × 129.60
  4. Step 4: Simplify right side
    149.64x = 26,628.91
  5. Step 5: Solve for x
    x = 26,628.91/149.64
  6. Step 6: Final answer
    x = 177.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.