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Finding the Fourth Proportional to 266.40, 367.65 and 179.13

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Solution

The fourth proportional to 266.40, 367.65 and 179.13 is: 247.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.40 : 367.65 = 179.13 : x
  2. Step 2: Convert to fraction form
    266.40/367.65 = 179.13/x
  3. Step 3: Cross multiply
    266.40x = 367.65 × 179.13
  4. Step 4: Simplify right side
    266.40x = 65,857.14
  5. Step 5: Solve for x
    x = 65,857.14/266.40
  6. Step 6: Final answer
    x = 247.21

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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.