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Finding the Fourth Proportional to 480.50, 721.66 and 299.16

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Solution

The fourth proportional to 480.50, 721.66 and 299.16 is: 449.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.50 : 721.66 = 299.16 : x
  2. Step 2: Convert to fraction form
    480.50/721.66 = 299.16/x
  3. Step 3: Cross multiply
    480.50x = 721.66 × 299.16
  4. Step 4: Simplify right side
    480.50x = 215,891.06
  5. Step 5: Solve for x
    x = 215,891.06/480.50
  6. Step 6: Final answer
    x = 449.31

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1.5x scale

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.