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Finding the Fourth Proportional to 320.65, 440.03 and 315.25

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Solution

The fourth proportional to 320.65, 440.03 and 315.25 is: 432.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.65 : 440.03 = 315.25 : x
  2. Step 2: Convert to fraction form
    320.65/440.03 = 315.25/x
  3. Step 3: Cross multiply
    320.65x = 440.03 × 315.25
  4. Step 4: Simplify right side
    320.65x = 138,719.46
  5. Step 5: Solve for x
    x = 138,719.46/320.65
  6. Step 6: Final answer
    x = 432.62

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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.