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Finding the Fourth Proportional to 102.21, 154.20 and 97.15

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Solution

The fourth proportional to 102.21, 154.20 and 97.15 is: 146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.21 : 154.20 = 97.15 : x
  2. Step 2: Convert to fraction form
    102.21/154.20 = 97.15/x
  3. Step 3: Cross multiply
    102.21x = 154.20 × 97.15
  4. Step 4: Simplify right side
    102.21x = 14,980.53
  5. Step 5: Solve for x
    x = 14,980.53/102.21
  6. Step 6: Final answer
    x = 146.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.