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Finding the Fourth Proportional to 173.85, 239.88 and 100.19

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Solution

The fourth proportional to 173.85, 239.88 and 100.19 is: 138.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.85 : 239.88 = 100.19 : x
  2. Step 2: Convert to fraction form
    173.85/239.88 = 100.19/x
  3. Step 3: Cross multiply
    173.85x = 239.88 × 100.19
  4. Step 4: Simplify right side
    173.85x = 24,032.38
  5. Step 5: Solve for x
    x = 24,032.38/173.85
  6. Step 6: Final answer
    x = 138.24

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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.