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Finding the Fourth Proportional to 150.69, 208.04 and 98.31

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Solution

The fourth proportional to 150.69, 208.04 and 98.31 is: 135.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.69 : 208.04 = 98.31 : x
  2. Step 2: Convert to fraction form
    150.69/208.04 = 98.31/x
  3. Step 3: Cross multiply
    150.69x = 208.04 × 98.31
  4. Step 4: Simplify right side
    150.69x = 20,452.70
  5. Step 5: Solve for x
    x = 20,452.70/150.69
  6. Step 6: Final answer
    x = 135.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.