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Finding the Fourth Proportional to 338.24, 465.28 and 294.40

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Solution

The fourth proportional to 338.24, 465.28 and 294.40 is: 404.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.24 : 465.28 = 294.40 : x
  2. Step 2: Convert to fraction form
    338.24/465.28 = 294.40/x
  3. Step 3: Cross multiply
    338.24x = 465.28 × 294.40
  4. Step 4: Simplify right side
    338.24x = 136,978.43
  5. Step 5: Solve for x
    x = 136,978.43/338.24
  6. Step 6: Final answer
    x = 404.97

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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.