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Finding the Fourth Proportional to 321.12, 440.16 and 315.42

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Solution

The fourth proportional to 321.12, 440.16 and 315.42 is: 432.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.12 : 440.16 = 315.42 : x
  2. Step 2: Convert to fraction form
    321.12/440.16 = 315.42/x
  3. Step 3: Cross multiply
    321.12x = 440.16 × 315.42
  4. Step 4: Simplify right side
    321.12x = 138,835.27
  5. Step 5: Solve for x
    x = 138,835.27/321.12
  6. Step 6: Final answer
    x = 432.35

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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.