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Finding the Fourth Proportional to 102.22, 153.42 and 92.50

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Solution

The fourth proportional to 102.22, 153.42 and 92.50 is: 138.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.22 : 153.42 = 92.50 : x
  2. Step 2: Convert to fraction form
    102.22/153.42 = 92.50/x
  3. Step 3: Cross multiply
    102.22x = 153.42 × 92.50
  4. Step 4: Simplify right side
    102.22x = 14,191.35
  5. Step 5: Solve for x
    x = 14,191.35/102.22
  6. Step 6: Final answer
    x = 138.83

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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.