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Finding the Fourth Proportional to 100.48, 151.60 and 89.92

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Solution

The fourth proportional to 100.48, 151.60 and 89.92 is: 135.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.48 : 151.60 = 89.92 : x
  2. Step 2: Convert to fraction form
    100.48/151.60 = 89.92/x
  3. Step 3: Cross multiply
    100.48x = 151.60 × 89.92
  4. Step 4: Simplify right side
    100.48x = 13,631.87
  5. Step 5: Solve for x
    x = 13,631.87/100.48
  6. Step 6: Final answer
    x = 135.67

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Why These Related Problems?

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