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Finding the Fourth Proportional to 543.25, 814.62 and 234.91

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Solution

The fourth proportional to 543.25, 814.62 and 234.91 is: 352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.25 : 814.62 = 234.91 : x
  2. Step 2: Convert to fraction form
    543.25/814.62 = 234.91/x
  3. Step 3: Cross multiply
    543.25x = 814.62 × 234.91
  4. Step 4: Simplify right side
    543.25x = 191,362.38
  5. Step 5: Solve for x
    x = 191,362.38/543.25
  6. Step 6: Final answer
    x = 352.25

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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.