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Finding the Fourth Proportional to 103.62, 155.22 and 96.90

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Solution

The fourth proportional to 103.62, 155.22 and 96.90 is: 145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.62 : 155.22 = 96.90 : x
  2. Step 2: Convert to fraction form
    103.62/155.22 = 96.90/x
  3. Step 3: Cross multiply
    103.62x = 155.22 × 96.90
  4. Step 4: Simplify right side
    103.62x = 15,040.82
  5. Step 5: Solve for x
    x = 15,040.82/103.62
  6. Step 6: Final answer
    x = 145.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.