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Finding the Fourth Proportional to 72.22, 100.18 and 69.70

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Solution

The fourth proportional to 72.22, 100.18 and 69.70 is: 96.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.22 : 100.18 = 69.70 : x
  2. Step 2: Convert to fraction form
    72.22/100.18 = 69.70/x
  3. Step 3: Cross multiply
    72.22x = 100.18 × 69.70
  4. Step 4: Simplify right side
    72.22x = 6,982.55
  5. Step 5: Solve for x
    x = 6,982.55/72.22
  6. Step 6: Final answer
    x = 96.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.