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Finding the Fourth Proportional to 172.84, 238.47 and 99.14

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Solution

The fourth proportional to 172.84, 238.47 and 99.14 is: 136.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.84 : 238.47 = 99.14 : x
  2. Step 2: Convert to fraction form
    172.84/238.47 = 99.14/x
  3. Step 3: Cross multiply
    172.84x = 238.47 × 99.14
  4. Step 4: Simplify right side
    172.84x = 23,641.92
  5. Step 5: Solve for x
    x = 23,641.92/172.84
  6. Step 6: Final answer
    x = 136.78

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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.