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Finding the Fourth Proportional to 100.92, 150.09 and 99.84

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Solution

The fourth proportional to 100.92, 150.09 and 99.84 is: 148.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.92 : 150.09 = 99.84 : x
  2. Step 2: Convert to fraction form
    100.92/150.09 = 99.84/x
  3. Step 3: Cross multiply
    100.92x = 150.09 × 99.84
  4. Step 4: Simplify right side
    100.92x = 14,984.99
  5. Step 5: Solve for x
    x = 14,984.99/100.92
  6. Step 6: Final answer
    x = 148.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.