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Finding the Fourth Proportional to 294.90, 439.31 and 286.40

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Solution

The fourth proportional to 294.90, 439.31 and 286.40 is: 426.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.90 : 439.31 = 286.40 : x
  2. Step 2: Convert to fraction form
    294.90/439.31 = 286.40/x
  3. Step 3: Cross multiply
    294.90x = 439.31 × 286.40
  4. Step 4: Simplify right side
    294.90x = 125,818.38
  5. Step 5: Solve for x
    x = 125,818.38/294.90
  6. Step 6: Final answer
    x = 426.65

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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.