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Finding the Fourth Proportional to 361.78, 540.18 and 296.72

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Solution

The fourth proportional to 361.78, 540.18 and 296.72 is: 443.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.78 : 540.18 = 296.72 : x
  2. Step 2: Convert to fraction form
    361.78/540.18 = 296.72/x
  3. Step 3: Cross multiply
    361.78x = 540.18 × 296.72
  4. Step 4: Simplify right side
    361.78x = 160,282.21
  5. Step 5: Solve for x
    x = 160,282.21/361.78
  6. Step 6: Final answer
    x = 443.04

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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.