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Finding the Fourth Proportional to 110.25, 151.70 and 85.59

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Solution

The fourth proportional to 110.25, 151.70 and 85.59 is: 117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.25 : 151.70 = 85.59 : x
  2. Step 2: Convert to fraction form
    110.25/151.70 = 85.59/x
  3. Step 3: Cross multiply
    110.25x = 151.70 × 85.59
  4. Step 4: Simplify right side
    110.25x = 12,983.58
  5. Step 5: Solve for x
    x = 12,983.58/110.25
  6. Step 6: Final answer
    x = 117.76

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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.