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Finding the Fourth Proportional to 140.15, 209.08 and 117.47

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Solution

The fourth proportional to 140.15, 209.08 and 117.47 is: 175.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.15 : 209.08 = 117.47 : x
  2. Step 2: Convert to fraction form
    140.15/209.08 = 117.47/x
  3. Step 3: Cross multiply
    140.15x = 209.08 × 117.47
  4. Step 4: Simplify right side
    140.15x = 24,560.63
  5. Step 5: Solve for x
    x = 24,560.63/140.15
  6. Step 6: Final answer
    x = 175.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.