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Finding the Fourth Proportional to 266.40, 367.80 and 217.20

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Solution

The fourth proportional to 266.40, 367.80 and 217.20 is: 299.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.40 : 367.80 = 217.20 : x
  2. Step 2: Convert to fraction form
    266.40/367.80 = 217.20/x
  3. Step 3: Cross multiply
    266.40x = 367.80 × 217.20
  4. Step 4: Simplify right side
    266.40x = 79,886.16
  5. Step 5: Solve for x
    x = 79,886.16/266.40
  6. Step 6: Final answer
    x = 299.87

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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.