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Finding the Fourth Proportional to 489.09, 675.09 and 292.72

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Solution

The fourth proportional to 489.09, 675.09 and 292.72 is: 404.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.09 : 675.09 = 292.72 : x
  2. Step 2: Convert to fraction form
    489.09/675.09 = 292.72/x
  3. Step 3: Cross multiply
    489.09x = 675.09 × 292.72
  4. Step 4: Simplify right side
    489.09x = 197,612.34
  5. Step 5: Solve for x
    x = 197,612.34/489.09
  6. Step 6: Final answer
    x = 404.04

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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.