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Finding the Fourth Proportional to 173.74, 239.78 and 100.07

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Solution

The fourth proportional to 173.74, 239.78 and 100.07 is: 138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.74 : 239.78 = 100.07 : x
  2. Step 2: Convert to fraction form
    173.74/239.78 = 100.07/x
  3. Step 3: Cross multiply
    173.74x = 239.78 × 100.07
  4. Step 4: Simplify right side
    173.74x = 23,994.78
  5. Step 5: Solve for x
    x = 23,994.78/173.74
  6. Step 6: Final answer
    x = 138.11

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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.