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Finding the Fourth Proportional to 361.20, 498.60 and 230.40

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Solution

The fourth proportional to 361.20, 498.60 and 230.40 is: 318.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.20 : 498.60 = 230.40 : x
  2. Step 2: Convert to fraction form
    361.20/498.60 = 230.40/x
  3. Step 3: Cross multiply
    361.20x = 498.60 × 230.40
  4. Step 4: Simplify right side
    361.20x = 114,877.44
  5. Step 5: Solve for x
    x = 114,877.44/361.20
  6. Step 6: Final answer
    x = 318.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.