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Finding the Fourth Proportional to 361.52, 498.70 and 228.49

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Solution

The fourth proportional to 361.52, 498.70 and 228.49 is: 315.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.52 : 498.70 = 228.49 : x
  2. Step 2: Convert to fraction form
    361.52/498.70 = 228.49/x
  3. Step 3: Cross multiply
    361.52x = 498.70 × 228.49
  4. Step 4: Simplify right side
    361.52x = 113,947.96
  5. Step 5: Solve for x
    x = 113,947.96/361.52
  6. Step 6: Final answer
    x = 315.19

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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.