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Finding the Fourth Proportional to 109.43, 151.01 and 83.15

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Solution

The fourth proportional to 109.43, 151.01 and 83.15 is: 114.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.43 : 151.01 = 83.15 : x
  2. Step 2: Convert to fraction form
    109.43/151.01 = 83.15/x
  3. Step 3: Cross multiply
    109.43x = 151.01 × 83.15
  4. Step 4: Simplify right side
    109.43x = 12,557.07
  5. Step 5: Solve for x
    x = 12,557.07/109.43
  6. Step 6: Final answer
    x = 114.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.