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Finding the Fourth Proportional to 543.30, 815.11 and 231.09

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Solution

The fourth proportional to 543.30, 815.11 and 231.09 is: 346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.30 : 815.11 = 231.09 : x
  2. Step 2: Convert to fraction form
    543.30/815.11 = 231.09/x
  3. Step 3: Cross multiply
    543.30x = 815.11 × 231.09
  4. Step 4: Simplify right side
    543.30x = 188,363.77
  5. Step 5: Solve for x
    x = 188,363.77/543.30
  6. Step 6: Final answer
    x = 346.70

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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.