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Finding the Fourth Proportional to 500.03, 749.49 and 170.66

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Solution

The fourth proportional to 500.03, 749.49 and 170.66 is: 255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.03 : 749.49 = 170.66 : x
  2. Step 2: Convert to fraction form
    500.03/749.49 = 170.66/x
  3. Step 3: Cross multiply
    500.03x = 749.49 × 170.66
  4. Step 4: Simplify right side
    500.03x = 127,909.41
  5. Step 5: Solve for x
    x = 127,909.41/500.03
  6. Step 6: Final answer
    x = 255.80

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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.