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Finding the Fourth Proportional to 326.42, 489.78 and 172.47

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Solution

The fourth proportional to 326.42, 489.78 and 172.47 is: 258.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.42 : 489.78 = 172.47 : x
  2. Step 2: Convert to fraction form
    326.42/489.78 = 172.47/x
  3. Step 3: Cross multiply
    326.42x = 489.78 × 172.47
  4. Step 4: Simplify right side
    326.42x = 84,472.36
  5. Step 5: Solve for x
    x = 84,472.36/326.42
  6. Step 6: Final answer
    x = 258.78

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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.