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Finding the Fourth Proportional to 264.15, 396.22 and 81.53

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Solution

The fourth proportional to 264.15, 396.22 and 81.53 is: 122.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.15 : 396.22 = 81.53 : x
  2. Step 2: Convert to fraction form
    264.15/396.22 = 81.53/x
  3. Step 3: Cross multiply
    264.15x = 396.22 × 81.53
  4. Step 4: Simplify right side
    264.15x = 32,304.60
  5. Step 5: Solve for x
    x = 32,304.60/264.15
  6. Step 6: Final answer
    x = 122.30

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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.