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Finding the Fourth Proportional to 140.40, 194.02 and 117.08

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Solution

The fourth proportional to 140.40, 194.02 and 117.08 is: 161.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.40 : 194.02 = 117.08 : x
  2. Step 2: Convert to fraction form
    140.40/194.02 = 117.08/x
  3. Step 3: Cross multiply
    140.40x = 194.02 × 117.08
  4. Step 4: Simplify right side
    140.40x = 22,715.86
  5. Step 5: Solve for x
    x = 22,715.86/140.40
  6. Step 6: Final answer
    x = 161.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.