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Finding the Fourth Proportional to 109.82, 151.60 and 83.59

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Solution

The fourth proportional to 109.82, 151.60 and 83.59 is: 115.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.82 : 151.60 = 83.59 : x
  2. Step 2: Convert to fraction form
    109.82/151.60 = 83.59/x
  3. Step 3: Cross multiply
    109.82x = 151.60 × 83.59
  4. Step 4: Simplify right side
    109.82x = 12,672.24
  5. Step 5: Solve for x
    x = 12,672.24/109.82
  6. Step 6: Final answer
    x = 115.40

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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.