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Finding the Fourth Proportional to 527.28, 791.31 and 198.52

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Solution

The fourth proportional to 527.28, 791.31 and 198.52 is: 297.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.28 : 791.31 = 198.52 : x
  2. Step 2: Convert to fraction form
    527.28/791.31 = 198.52/x
  3. Step 3: Cross multiply
    527.28x = 791.31 × 198.52
  4. Step 4: Simplify right side
    527.28x = 157,090.86
  5. Step 5: Solve for x
    x = 157,090.86/527.28
  6. Step 6: Final answer
    x = 297.93

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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.