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Finding the Fourth Proportional to 264.25, 363.85 and 229.15

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Solution

The fourth proportional to 264.25, 363.85 and 229.15 is: 315.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.25 : 363.85 = 229.15 : x
  2. Step 2: Convert to fraction form
    264.25/363.85 = 229.15/x
  3. Step 3: Cross multiply
    264.25x = 363.85 × 229.15
  4. Step 4: Simplify right side
    264.25x = 83,376.23
  5. Step 5: Solve for x
    x = 83,376.23/264.25
  6. Step 6: Final answer
    x = 315.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.