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Finding the Fourth Proportional to 158.92, 219.16 and 109.72

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Solution

The fourth proportional to 158.92, 219.16 and 109.72 is: 151.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.92 : 219.16 = 109.72 : x
  2. Step 2: Convert to fraction form
    158.92/219.16 = 109.72/x
  3. Step 3: Cross multiply
    158.92x = 219.16 × 109.72
  4. Step 4: Simplify right side
    158.92x = 24,046.24
  5. Step 5: Solve for x
    x = 24,046.24/158.92
  6. Step 6: Final answer
    x = 151.31

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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.