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Finding the Fourth Proportional to 266.13, 367.28 and 149.71

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Solution

The fourth proportional to 266.13, 367.28 and 149.71 is: 206.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.13 : 367.28 = 149.71 : x
  2. Step 2: Convert to fraction form
    266.13/367.28 = 149.71/x
  3. Step 3: Cross multiply
    266.13x = 367.28 × 149.71
  4. Step 4: Simplify right side
    266.13x = 54,985.49
  5. Step 5: Solve for x
    x = 54,985.49/266.13
  6. Step 6: Final answer
    x = 206.61

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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.