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Finding the Fourth Proportional to 325.80, 489.06 and 257.76

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Solution

The fourth proportional to 325.80, 489.06 and 257.76 is: 386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.80 : 489.06 = 257.76 : x
  2. Step 2: Convert to fraction form
    325.80/489.06 = 257.76/x
  3. Step 3: Cross multiply
    325.80x = 489.06 × 257.76
  4. Step 4: Simplify right side
    325.80x = 126,060.11
  5. Step 5: Solve for x
    x = 126,060.11/325.80
  6. Step 6: Final answer
    x = 386.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.