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Finding the Fourth Proportional to 109.71, 152.28 and 108.18

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Solution

The fourth proportional to 109.71, 152.28 and 108.18 is: 150.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.71 : 152.28 = 108.18 : x
  2. Step 2: Convert to fraction form
    109.71/152.28 = 108.18/x
  3. Step 3: Cross multiply
    109.71x = 152.28 × 108.18
  4. Step 4: Simplify right side
    109.71x = 16,473.65
  5. Step 5: Solve for x
    x = 16,473.65/109.71
  6. Step 6: Final answer
    x = 150.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.