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Finding the Fourth Proportional to 240.76, 361.26 and 159.40

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Solution

The fourth proportional to 240.76, 361.26 and 159.40 is: 239.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.76 : 361.26 = 159.40 : x
  2. Step 2: Convert to fraction form
    240.76/361.26 = 159.40/x
  3. Step 3: Cross multiply
    240.76x = 361.26 × 159.40
  4. Step 4: Simplify right side
    240.76x = 57,584.84
  5. Step 5: Solve for x
    x = 57,584.84/240.76
  6. Step 6: Final answer
    x = 239.18

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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.