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Finding the Fourth Proportional to 140.65, 194.16 and 85.40

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Solution

The fourth proportional to 140.65, 194.16 and 85.40 is: 117.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.65 : 194.16 = 85.40 : x
  2. Step 2: Convert to fraction form
    140.65/194.16 = 85.40/x
  3. Step 3: Cross multiply
    140.65x = 194.16 × 85.40
  4. Step 4: Simplify right side
    140.65x = 16,581.32
  5. Step 5: Solve for x
    x = 16,581.32/140.65
  6. Step 6: Final answer
    x = 117.89

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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.