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Finding the Fourth Proportional to 327.66, 489.14 and 316.26

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Solution

The fourth proportional to 327.66, 489.14 and 316.26 is: 472.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.66 : 489.14 = 316.26 : x
  2. Step 2: Convert to fraction form
    327.66/489.14 = 316.26/x
  3. Step 3: Cross multiply
    327.66x = 489.14 × 316.26
  4. Step 4: Simplify right side
    327.66x = 154,695.42
  5. Step 5: Solve for x
    x = 154,695.42/327.66
  6. Step 6: Final answer
    x = 472.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.