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Finding the Fourth Proportional to 543.41, 815.24 and 158.63

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Solution

The fourth proportional to 543.41, 815.24 and 158.63 is: 237.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.41 : 815.24 = 158.63 : x
  2. Step 2: Convert to fraction form
    543.41/815.24 = 158.63/x
  3. Step 3: Cross multiply
    543.41x = 815.24 × 158.63
  4. Step 4: Simplify right side
    543.41x = 129,316.65
  5. Step 5: Solve for x
    x = 129,316.65/543.41
  6. Step 6: Final answer
    x = 237.97

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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.