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Finding the Fourth Proportional to 482.04, 721.98 and 299.12

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Solution

The fourth proportional to 482.04, 721.98 and 299.12 is: 448.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.04 : 721.98 = 299.12 : x
  2. Step 2: Convert to fraction form
    482.04/721.98 = 299.12/x
  3. Step 3: Cross multiply
    482.04x = 721.98 × 299.12
  4. Step 4: Simplify right side
    482.04x = 215,955.05
  5. Step 5: Solve for x
    x = 215,955.05/482.04
  6. Step 6: Final answer
    x = 448.00

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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.