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Finding the Fourth Proportional to 500.19, 751.61 and 269.25

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Solution

The fourth proportional to 500.19, 751.61 and 269.25 is: 404.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.19 : 751.61 = 269.25 : x
  2. Step 2: Convert to fraction form
    500.19/751.61 = 269.25/x
  3. Step 3: Cross multiply
    500.19x = 751.61 × 269.25
  4. Step 4: Simplify right side
    500.19x = 202,370.99
  5. Step 5: Solve for x
    x = 202,370.99/500.19
  6. Step 6: Final answer
    x = 404.59

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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.