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Finding the Fourth Proportional to 489.85, 675.98 and 265.78

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Solution

The fourth proportional to 489.85, 675.98 and 265.78 is: 366.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.85 : 675.98 = 265.78 : x
  2. Step 2: Convert to fraction form
    489.85/675.98 = 265.78/x
  3. Step 3: Cross multiply
    489.85x = 675.98 × 265.78
  4. Step 4: Simplify right side
    489.85x = 179,659.82
  5. Step 5: Solve for x
    x = 179,659.82/489.85
  6. Step 6: Final answer
    x = 366.77

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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.