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Finding the Fourth Proportional to 173.86, 239.98 and 100.23

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Solution

The fourth proportional to 173.86, 239.98 and 100.23 is: 138.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.86 : 239.98 = 100.23 : x
  2. Step 2: Convert to fraction form
    173.86/239.98 = 100.23/x
  3. Step 3: Cross multiply
    173.86x = 239.98 × 100.23
  4. Step 4: Simplify right side
    173.86x = 24,052.85
  5. Step 5: Solve for x
    x = 24,052.85/173.86
  6. Step 6: Final answer
    x = 138.35

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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.