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Finding the Fourth Proportional to 102.11, 152.15 and 97.21

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Solution

The fourth proportional to 102.11, 152.15 and 97.21 is: 144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.11 : 152.15 = 97.21 : x
  2. Step 2: Convert to fraction form
    102.11/152.15 = 97.21/x
  3. Step 3: Cross multiply
    102.11x = 152.15 × 97.21
  4. Step 4: Simplify right side
    102.11x = 14,790.50
  5. Step 5: Solve for x
    x = 14,790.50/102.11
  6. Step 6: Final answer
    x = 144.85

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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.