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Finding the Fourth Proportional to 321.19, 440.35 and 315.35

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Solution

The fourth proportional to 321.19, 440.35 and 315.35 is: 432.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.19 : 440.35 = 315.35 : x
  2. Step 2: Convert to fraction form
    321.19/440.35 = 315.35/x
  3. Step 3: Cross multiply
    321.19x = 440.35 × 315.35
  4. Step 4: Simplify right side
    321.19x = 138,864.37
  5. Step 5: Solve for x
    x = 138,864.37/321.19
  6. Step 6: Final answer
    x = 432.34

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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.