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Finding the Fourth Proportional to 325.32, 446.68 and 316.86

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Solution

The fourth proportional to 325.32, 446.68 and 316.86 is: 435.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.32 : 446.68 = 316.86 : x
  2. Step 2: Convert to fraction form
    325.32/446.68 = 316.86/x
  3. Step 3: Cross multiply
    325.32x = 446.68 × 316.86
  4. Step 4: Simplify right side
    325.32x = 141,535.02
  5. Step 5: Solve for x
    x = 141,535.02/325.32
  6. Step 6: Final answer
    x = 435.06

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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.