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Finding the Fourth Proportional to 266.34, 401.28 and 240.69

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Solution

The fourth proportional to 266.34, 401.28 and 240.69 is: 362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.34 : 401.28 = 240.69 : x
  2. Step 2: Convert to fraction form
    266.34/401.28 = 240.69/x
  3. Step 3: Cross multiply
    266.34x = 401.28 × 240.69
  4. Step 4: Simplify right side
    266.34x = 96,584.08
  5. Step 5: Solve for x
    x = 96,584.08/266.34
  6. Step 6: Final answer
    x = 362.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.