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Finding the Fourth Proportional to 144.66, 198.86 and 124.65

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Solution

The fourth proportional to 144.66, 198.86 and 124.65 is: 171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.66 : 198.86 = 124.65 : x
  2. Step 2: Convert to fraction form
    144.66/198.86 = 124.65/x
  3. Step 3: Cross multiply
    144.66x = 198.86 × 124.65
  4. Step 4: Simplify right side
    144.66x = 24,787.40
  5. Step 5: Solve for x
    x = 24,787.40/144.66
  6. Step 6: Final answer
    x = 171.35

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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.