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Finding the Fourth Proportional to 240.40, 361.20 and 153.77

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Solution

The fourth proportional to 240.40, 361.20 and 153.77 is: 231.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.40 : 361.20 = 153.77 : x
  2. Step 2: Convert to fraction form
    240.40/361.20 = 153.77/x
  3. Step 3: Cross multiply
    240.40x = 361.20 × 153.77
  4. Step 4: Simplify right side
    240.40x = 55,541.72
  5. Step 5: Solve for x
    x = 55,541.72/240.40
  6. Step 6: Final answer
    x = 231.04

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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.