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Finding the Fourth Proportional to 140.30, 209.82 and 106.08

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Solution

The fourth proportional to 140.30, 209.82 and 106.08 is: 158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.30 : 209.82 = 106.08 : x
  2. Step 2: Convert to fraction form
    140.30/209.82 = 106.08/x
  3. Step 3: Cross multiply
    140.30x = 209.82 × 106.08
  4. Step 4: Simplify right side
    140.30x = 22,257.71
  5. Step 5: Solve for x
    x = 22,257.71/140.30
  6. Step 6: Final answer
    x = 158.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.