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Finding the Fourth Proportional to 321.30, 440.50 and 315.46

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Solution

The fourth proportional to 321.30, 440.50 and 315.46 is: 432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.30 : 440.50 = 315.46 : x
  2. Step 2: Convert to fraction form
    321.30/440.50 = 315.46/x
  3. Step 3: Cross multiply
    321.30x = 440.50 × 315.46
  4. Step 4: Simplify right side
    321.30x = 138,960.13
  5. Step 5: Solve for x
    x = 138,960.13/321.30
  6. Step 6: Final answer
    x = 432.49

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