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Finding the Fourth Proportional to 542.78, 814.17 and 350

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Solution

The fourth proportional to 542.78, 814.17 and 350 is: 525

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.78 : 814.17 = 350 : x
  2. Step 2: Convert to fraction form
    542.78/814.17 = 350/x
  3. Step 3: Cross multiply
    542.78x = 814.17 × 350
  4. Step 4: Simplify right side
    542.78x = 284,959.50
  5. Step 5: Solve for x
    x = 284,959.50/542.78
  6. Step 6: Final answer
    x = 525

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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.