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Finding the Fourth Proportional to 325.92, 446.98 and 312.68

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Solution

The fourth proportional to 325.92, 446.98 and 312.68 is: 428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.92 : 446.98 = 312.68 : x
  2. Step 2: Convert to fraction form
    325.92/446.98 = 312.68/x
  3. Step 3: Cross multiply
    325.92x = 446.98 × 312.68
  4. Step 4: Simplify right side
    325.92x = 139,761.71
  5. Step 5: Solve for x
    x = 139,761.71/325.92
  6. Step 6: Final answer
    x = 428.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.