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Finding the Fourth Proportional to 100.39, 150.71 and 68.03

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Solution

The fourth proportional to 100.39, 150.71 and 68.03 is: 102.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.39 : 150.71 = 68.03 : x
  2. Step 2: Convert to fraction form
    100.39/150.71 = 68.03/x
  3. Step 3: Cross multiply
    100.39x = 150.71 × 68.03
  4. Step 4: Simplify right side
    100.39x = 10,253.08
  5. Step 5: Solve for x
    x = 10,253.08/100.39
  6. Step 6: Final answer
    x = 102.13

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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.