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Finding the Fourth Proportional to 452.71, 680.43 and 299.16

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Solution

The fourth proportional to 452.71, 680.43 and 299.16 is: 449.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.71 : 680.43 = 299.16 : x
  2. Step 2: Convert to fraction form
    452.71/680.43 = 299.16/x
  3. Step 3: Cross multiply
    452.71x = 680.43 × 299.16
  4. Step 4: Simplify right side
    452.71x = 203,561.11
  5. Step 5: Solve for x
    x = 203,561.11/452.71
  6. Step 6: Final answer
    x = 449.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.