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Finding the Fourth Proportional to 325.29, 489.66 and 278.31

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Solution

The fourth proportional to 325.29, 489.66 and 278.31 is: 418.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.29 : 489.66 = 278.31 : x
  2. Step 2: Convert to fraction form
    325.29/489.66 = 278.31/x
  3. Step 3: Cross multiply
    325.29x = 489.66 × 278.31
  4. Step 4: Simplify right side
    325.29x = 136,277.27
  5. Step 5: Solve for x
    x = 136,277.27/325.29
  6. Step 6: Final answer
    x = 418.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.