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Finding the Fourth Proportional to 543.38, 814.71 and 300.02

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Solution

The fourth proportional to 543.38, 814.71 and 300.02 is: 449.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.38 : 814.71 = 300.02 : x
  2. Step 2: Convert to fraction form
    543.38/814.71 = 300.02/x
  3. Step 3: Cross multiply
    543.38x = 814.71 × 300.02
  4. Step 4: Simplify right side
    543.38x = 244,429.29
  5. Step 5: Solve for x
    x = 244,429.29/543.38
  6. Step 6: Final answer
    x = 449.83

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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.