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Finding the Fourth Proportional to 240.96, 361.02 and 155.28

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Solution

The fourth proportional to 240.96, 361.02 and 155.28 is: 232.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.96 : 361.02 = 155.28 : x
  2. Step 2: Convert to fraction form
    240.96/361.02 = 155.28/x
  3. Step 3: Cross multiply
    240.96x = 361.02 × 155.28
  4. Step 4: Simplify right side
    240.96x = 56,059.19
  5. Step 5: Solve for x
    x = 56,059.19/240.96
  6. Step 6: Final answer
    x = 232.65

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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.