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Finding the Fourth Proportional to 325.43, 488.96 and 315.71

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Solution

The fourth proportional to 325.43, 488.96 and 315.71 is: 474.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.43 : 488.96 = 315.71 : x
  2. Step 2: Convert to fraction form
    325.43/488.96 = 315.71/x
  3. Step 3: Cross multiply
    325.43x = 488.96 × 315.71
  4. Step 4: Simplify right side
    325.43x = 154,369.56
  5. Step 5: Solve for x
    x = 154,369.56/325.43
  6. Step 6: Final answer
    x = 474.36

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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.