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Finding the Fourth Proportional to 100.42, 151.25 and 89.12

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Solution

The fourth proportional to 100.42, 151.25 and 89.12 is: 134.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.42 : 151.25 = 89.12 : x
  2. Step 2: Convert to fraction form
    100.42/151.25 = 89.12/x
  3. Step 3: Cross multiply
    100.42x = 151.25 × 89.12
  4. Step 4: Simplify right side
    100.42x = 13,479.40
  5. Step 5: Solve for x
    x = 13,479.40/100.42
  6. Step 6: Final answer
    x = 134.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.