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Finding the Fourth Proportional to 173.47, 239.38 and 98.78

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Solution

The fourth proportional to 173.47, 239.38 and 98.78 is: 136.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.47 : 239.38 = 98.78 : x
  2. Step 2: Convert to fraction form
    173.47/239.38 = 98.78/x
  3. Step 3: Cross multiply
    173.47x = 239.38 × 98.78
  4. Step 4: Simplify right side
    173.47x = 23,645.96
  5. Step 5: Solve for x
    x = 23,645.96/173.47
  6. Step 6: Final answer
    x = 136.31

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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.