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Finding the Fourth Proportional to 308.32, 459.20 and 299.80

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Solution

The fourth proportional to 308.32, 459.20 and 299.80 is: 446.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.32 : 459.20 = 299.80 : x
  2. Step 2: Convert to fraction form
    308.32/459.20 = 299.80/x
  3. Step 3: Cross multiply
    308.32x = 459.20 × 299.80
  4. Step 4: Simplify right side
    308.32x = 137,668.16
  5. Step 5: Solve for x
    x = 137,668.16/308.32
  6. Step 6: Final answer
    x = 446.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.