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Finding the Fourth Proportional to 330.38, 497.41 and 292.08

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Solution

The fourth proportional to 330.38, 497.41 and 292.08 is: 439.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.38 : 497.41 = 292.08 : x
  2. Step 2: Convert to fraction form
    330.38/497.41 = 292.08/x
  3. Step 3: Cross multiply
    330.38x = 497.41 × 292.08
  4. Step 4: Simplify right side
    330.38x = 145,283.51
  5. Step 5: Solve for x
    x = 145,283.51/330.38
  6. Step 6: Final answer
    x = 439.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.