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Finding the Fourth Proportional to 266.79, 400.30 and 144.87

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Solution

The fourth proportional to 266.79, 400.30 and 144.87 is: 217.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.79 : 400.30 = 144.87 : x
  2. Step 2: Convert to fraction form
    266.79/400.30 = 144.87/x
  3. Step 3: Cross multiply
    266.79x = 400.30 × 144.87
  4. Step 4: Simplify right side
    266.79x = 57,989.10
  5. Step 5: Solve for x
    x = 57,989.10/266.79
  6. Step 6: Final answer
    x = 217.36

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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.