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Finding the Fourth Proportional to 399.34, 550.89 and 266.74

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Solution

The fourth proportional to 399.34, 550.89 and 266.74 is: 367.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.34 : 550.89 = 266.74 : x
  2. Step 2: Convert to fraction form
    399.34/550.89 = 266.74/x
  3. Step 3: Cross multiply
    399.34x = 550.89 × 266.74
  4. Step 4: Simplify right side
    399.34x = 146,944.40
  5. Step 5: Solve for x
    x = 146,944.40/399.34
  6. Step 6: Final answer
    x = 367.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.