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Finding the Fourth Proportional to 325.20, 446.50 and 316.74

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Solution

The fourth proportional to 325.20, 446.50 and 316.74 is: 434.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.20 : 446.50 = 316.74 : x
  2. Step 2: Convert to fraction form
    325.20/446.50 = 316.74/x
  3. Step 3: Cross multiply
    325.20x = 446.50 × 316.74
  4. Step 4: Simplify right side
    325.20x = 141,425.20
  5. Step 5: Solve for x
    x = 141,425.20/325.20
  6. Step 6: Final answer
    x = 434.89

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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.