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Finding the Fourth Proportional to 543.94, 815.42 and 231.62

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Solution

The fourth proportional to 543.94, 815.42 and 231.62 is: 347.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.94 : 815.42 = 231.62 : x
  2. Step 2: Convert to fraction form
    543.94/815.42 = 231.62/x
  3. Step 3: Cross multiply
    543.94x = 815.42 × 231.62
  4. Step 4: Simplify right side
    543.94x = 188,864.08
  5. Step 5: Solve for x
    x = 188,864.08/543.94
  6. Step 6: Final answer
    x = 347.22

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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.