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Finding the Fourth Proportional to 100.50, 150.66 and 99.69

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Solution

The fourth proportional to 100.50, 150.66 and 99.69 is: 149.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.50 : 150.66 = 99.69 : x
  2. Step 2: Convert to fraction form
    100.50/150.66 = 99.69/x
  3. Step 3: Cross multiply
    100.50x = 150.66 × 99.69
  4. Step 4: Simplify right side
    100.50x = 15,019.30
  5. Step 5: Solve for x
    x = 15,019.30/100.50
  6. Step 6: Final answer
    x = 149.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.