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Finding the Fourth Proportional to 102.84, 140.85 and 97.25

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Solution

The fourth proportional to 102.84, 140.85 and 97.25 is: 133.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.84 : 140.85 = 97.25 : x
  2. Step 2: Convert to fraction form
    102.84/140.85 = 97.25/x
  3. Step 3: Cross multiply
    102.84x = 140.85 × 97.25
  4. Step 4: Simplify right side
    102.84x = 13,696.96
  5. Step 5: Solve for x
    x = 13,696.96/102.84
  6. Step 6: Final answer
    x = 133.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.