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Finding the Fourth Proportional to 103.25, 154.18 and 102.17

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Solution

The fourth proportional to 103.25, 154.18 and 102.17 is: 152.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.25 : 154.18 = 102.17 : x
  2. Step 2: Convert to fraction form
    103.25/154.18 = 102.17/x
  3. Step 3: Cross multiply
    103.25x = 154.18 × 102.17
  4. Step 4: Simplify right side
    103.25x = 15,752.57
  5. Step 5: Solve for x
    x = 15,752.57/103.25
  6. Step 6: Final answer
    x = 152.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.