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Finding the Fourth Proportional to 354.50, 489.02 and 265.80

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Solution

The fourth proportional to 354.50, 489.02 and 265.80 is: 366.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.50 : 489.02 = 265.80 : x
  2. Step 2: Convert to fraction form
    354.50/489.02 = 265.80/x
  3. Step 3: Cross multiply
    354.50x = 489.02 × 265.80
  4. Step 4: Simplify right side
    354.50x = 129,981.52
  5. Step 5: Solve for x
    x = 129,981.52/354.50
  6. Step 6: Final answer
    x = 366.66

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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.