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Finding the Fourth Proportional to 361.64, 498.87 and 228.62

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Solution

The fourth proportional to 361.64, 498.87 and 228.62 is: 315.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.64 : 498.87 = 228.62 : x
  2. Step 2: Convert to fraction form
    361.64/498.87 = 228.62/x
  3. Step 3: Cross multiply
    361.64x = 498.87 × 228.62
  4. Step 4: Simplify right side
    361.64x = 114,052.91
  5. Step 5: Solve for x
    x = 114,052.91/361.64
  6. Step 6: Final answer
    x = 315.37

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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.