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Finding the Fourth Proportional to 489.38, 675.10 and 292.78

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Solution

The fourth proportional to 489.38, 675.10 and 292.78 is: 403.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.38 : 675.10 = 292.78 : x
  2. Step 2: Convert to fraction form
    489.38/675.10 = 292.78/x
  3. Step 3: Cross multiply
    489.38x = 675.10 × 292.78
  4. Step 4: Simplify right side
    489.38x = 197,655.78
  5. Step 5: Solve for x
    x = 197,655.78/489.38
  6. Step 6: Final answer
    x = 403.89

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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.