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Finding the Fourth Proportional to 817.86, 1,227 and 240.78

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Solution

The fourth proportional to 817.86, 1,227 and 240.78 is: 361.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.86 : 1,227 = 240.78 : x
  2. Step 2: Convert to fraction form
    817.86/1,227 = 240.78/x
  3. Step 3: Cross multiply
    817.86x = 1,227 × 240.78
  4. Step 4: Simplify right side
    817.86x = 295,437.06
  5. Step 5: Solve for x
    x = 295,437.06/817.86
  6. Step 6: Final answer
    x = 361.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.