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Finding the Fourth Proportional to 109.04, 151.52 and 107.76

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Solution

The fourth proportional to 109.04, 151.52 and 107.76 is: 149.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.04 : 151.52 = 107.76 : x
  2. Step 2: Convert to fraction form
    109.04/151.52 = 107.76/x
  3. Step 3: Cross multiply
    109.04x = 151.52 × 107.76
  4. Step 4: Simplify right side
    109.04x = 16,327.80
  5. Step 5: Solve for x
    x = 16,327.80/109.04
  6. Step 6: Final answer
    x = 149.74

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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.