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Finding the Fourth Proportional to 506.03, 759.12 and 159.33

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Solution

The fourth proportional to 506.03, 759.12 and 159.33 is: 239.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.03 : 759.12 = 159.33 : x
  2. Step 2: Convert to fraction form
    506.03/759.12 = 159.33/x
  3. Step 3: Cross multiply
    506.03x = 759.12 × 159.33
  4. Step 4: Simplify right side
    506.03x = 120,947.63
  5. Step 5: Solve for x
    x = 120,947.63/506.03
  6. Step 6: Final answer
    x = 239.01

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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.