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Finding the Fourth Proportional to 308.22, 462.32 and 77.10

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Solution

The fourth proportional to 308.22, 462.32 and 77.10 is: 115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.22 : 462.32 = 77.10 : x
  2. Step 2: Convert to fraction form
    308.22/462.32 = 77.10/x
  3. Step 3: Cross multiply
    308.22x = 462.32 × 77.10
  4. Step 4: Simplify right side
    308.22x = 35,644.49
  5. Step 5: Solve for x
    x = 35,644.49/308.22
  6. Step 6: Final answer
    x = 115.65

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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.