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Finding the Fourth Proportional to 266.43, 401.64 and 243.87

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Solution

The fourth proportional to 266.43, 401.64 and 243.87 is: 367.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.43 : 401.64 = 243.87 : x
  2. Step 2: Convert to fraction form
    266.43/401.64 = 243.87/x
  3. Step 3: Cross multiply
    266.43x = 401.64 × 243.87
  4. Step 4: Simplify right side
    266.43x = 97,947.95
  5. Step 5: Solve for x
    x = 97,947.95/266.43
  6. Step 6: Final answer
    x = 367.63

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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.