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Finding the Fourth Proportional to 338.97, 467.21 and 292.16

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Solution

The fourth proportional to 338.97, 467.21 and 292.16 is: 402.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.97 : 467.21 = 292.16 : x
  2. Step 2: Convert to fraction form
    338.97/467.21 = 292.16/x
  3. Step 3: Cross multiply
    338.97x = 467.21 × 292.16
  4. Step 4: Simplify right side
    338.97x = 136,501.97
  5. Step 5: Solve for x
    x = 136,501.97/338.97
  6. Step 6: Final answer
    x = 402.69

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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.