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Finding the Fourth Proportional to 228.82, 315.31 and 202.39

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Solution

The fourth proportional to 228.82, 315.31 and 202.39 is: 278.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.82 : 315.31 = 202.39 : x
  2. Step 2: Convert to fraction form
    228.82/315.31 = 202.39/x
  3. Step 3: Cross multiply
    228.82x = 315.31 × 202.39
  4. Step 4: Simplify right side
    228.82x = 63,813.00
  5. Step 5: Solve for x
    x = 63,813.00/228.82
  6. Step 6: Final answer
    x = 278.88

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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.