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Finding the Fourth Proportional to 242.44, 361.36 and 240.55

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Solution

The fourth proportional to 242.44, 361.36 and 240.55 is: 358.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.44 : 361.36 = 240.55 : x
  2. Step 2: Convert to fraction form
    242.44/361.36 = 240.55/x
  3. Step 3: Cross multiply
    242.44x = 361.36 × 240.55
  4. Step 4: Simplify right side
    242.44x = 86,925.15
  5. Step 5: Solve for x
    x = 86,925.15/242.44
  6. Step 6: Final answer
    x = 358.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.