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Finding the Fourth Proportional to 486.66, 731.46 and 325.38

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Solution

The fourth proportional to 486.66, 731.46 and 325.38 is: 489.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.66 : 731.46 = 325.38 : x
  2. Step 2: Convert to fraction form
    486.66/731.46 = 325.38/x
  3. Step 3: Cross multiply
    486.66x = 731.46 × 325.38
  4. Step 4: Simplify right side
    486.66x = 238,002.45
  5. Step 5: Solve for x
    x = 238,002.45/486.66
  6. Step 6: Final answer
    x = 489.05

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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.