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Finding the Fourth Proportional to 228.31, 315.09 and 135.09

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Solution

The fourth proportional to 228.31, 315.09 and 135.09 is: 186.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.31 : 315.09 = 135.09 : x
  2. Step 2: Convert to fraction form
    228.31/315.09 = 135.09/x
  3. Step 3: Cross multiply
    228.31x = 315.09 × 135.09
  4. Step 4: Simplify right side
    228.31x = 42,563.93
  5. Step 5: Solve for x
    x = 42,563.93/228.31
  6. Step 6: Final answer
    x = 186.43

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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.