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Finding the Fourth Proportional to 328.26, 449.71 and 315.95

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Solution

The fourth proportional to 328.26, 449.71 and 315.95 is: 432.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.26 : 449.71 = 315.95 : x
  2. Step 2: Convert to fraction form
    328.26/449.71 = 315.95/x
  3. Step 3: Cross multiply
    328.26x = 449.71 × 315.95
  4. Step 4: Simplify right side
    328.26x = 142,082.84
  5. Step 5: Solve for x
    x = 142,082.84/328.26
  6. Step 6: Final answer
    x = 432.84

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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.