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Finding the Fourth Proportional to 266.24, 399.61 and 144.76

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Solution

The fourth proportional to 266.24, 399.61 and 144.76 is: 217.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.24 : 399.61 = 144.76 : x
  2. Step 2: Convert to fraction form
    266.24/399.61 = 144.76/x
  3. Step 3: Cross multiply
    266.24x = 399.61 × 144.76
  4. Step 4: Simplify right side
    266.24x = 57,847.54
  5. Step 5: Solve for x
    x = 57,847.54/266.24
  6. Step 6: Final answer
    x = 217.28

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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.