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Finding the Fourth Proportional to 500.97, 750.99 and 254.01

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Solution

The fourth proportional to 500.97, 750.99 and 254.01 is: 380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.97 : 750.99 = 254.01 : x
  2. Step 2: Convert to fraction form
    500.97/750.99 = 254.01/x
  3. Step 3: Cross multiply
    500.97x = 750.99 × 254.01
  4. Step 4: Simplify right side
    500.97x = 190,758.97
  5. Step 5: Solve for x
    x = 190,758.97/500.97
  6. Step 6: Final answer
    x = 380.78

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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.