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Finding the Fourth Proportional to 264.38, 394.65 and 225.20

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Solution

The fourth proportional to 264.38, 394.65 and 225.20 is: 336.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.38 : 394.65 = 225.20 : x
  2. Step 2: Convert to fraction form
    264.38/394.65 = 225.20/x
  3. Step 3: Cross multiply
    264.38x = 394.65 × 225.20
  4. Step 4: Simplify right side
    264.38x = 88,873.21
  5. Step 5: Solve for x
    x = 88,873.21/264.38
  6. Step 6: Final answer
    x = 336.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.