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Finding the Fourth Proportional to 506.52, 759.33 and 193.98

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Solution

The fourth proportional to 506.52, 759.33 and 193.98 is: 290.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.52 : 759.33 = 193.98 : x
  2. Step 2: Convert to fraction form
    506.52/759.33 = 193.98/x
  3. Step 3: Cross multiply
    506.52x = 759.33 × 193.98
  4. Step 4: Simplify right side
    506.52x = 147,294.83
  5. Step 5: Solve for x
    x = 147,294.83/506.52
  6. Step 6: Final answer
    x = 290.80

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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.