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Finding the Fourth Proportional to 500.20, 750.22 and 175.48

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Solution

The fourth proportional to 500.20, 750.22 and 175.48 is: 263.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.20 : 750.22 = 175.48 : x
  2. Step 2: Convert to fraction form
    500.20/750.22 = 175.48/x
  3. Step 3: Cross multiply
    500.20x = 750.22 × 175.48
  4. Step 4: Simplify right side
    500.20x = 131,648.61
  5. Step 5: Solve for x
    x = 131,648.61/500.20
  6. Step 6: Final answer
    x = 263.19

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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.