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Finding the Fourth Proportional to 228.52, 315.39 and 149.83

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Solution

The fourth proportional to 228.52, 315.39 and 149.83 is: 206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.52 : 315.39 = 149.83 : x
  2. Step 2: Convert to fraction form
    228.52/315.39 = 149.83/x
  3. Step 3: Cross multiply
    228.52x = 315.39 × 149.83
  4. Step 4: Simplify right side
    228.52x = 47,253.31
  5. Step 5: Solve for x
    x = 47,253.31/228.52
  6. Step 6: Final answer
    x = 206.78

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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.