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Finding the Fourth Proportional to 489.49, 675.48 and 292.90

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Solution

The fourth proportional to 489.49, 675.48 and 292.90 is: 404.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.49 : 675.48 = 292.90 : x
  2. Step 2: Convert to fraction form
    489.49/675.48 = 292.90/x
  3. Step 3: Cross multiply
    489.49x = 675.48 × 292.90
  4. Step 4: Simplify right side
    489.49x = 197,848.09
  5. Step 5: Solve for x
    x = 197,848.09/489.49
  6. Step 6: Final answer
    x = 404.19

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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.