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Finding the Fourth Proportional to 173.68, 239.68 and 100.00

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Solution

The fourth proportional to 173.68, 239.68 and 100.00 is: 138.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.68 : 239.68 = 100.00 : x
  2. Step 2: Convert to fraction form
    173.68/239.68 = 100.00/x
  3. Step 3: Cross multiply
    173.68x = 239.68 × 100.00
  4. Step 4: Simplify right side
    173.68x = 23,967.15
  5. Step 5: Solve for x
    x = 23,967.15/173.68
  6. Step 6: Final answer
    x = 138.00

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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.