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Finding the Fourth Proportional to 568, 851.48 and 361.98

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Solution

The fourth proportional to 568, 851.48 and 361.98 is: 542.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    568 : 851.48 = 361.98 : x
  2. Step 2: Convert to fraction form
    568/851.48 = 361.98/x
  3. Step 3: Cross multiply
    568x = 851.48 × 361.98
  4. Step 4: Simplify right side
    568x = 308,218.73
  5. Step 5: Solve for x
    x = 308,218.73/568
  6. Step 6: Final answer
    x = 542.64

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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.