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Finding the Fourth Proportional to 228.78, 342.90 and 167.94

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Solution

The fourth proportional to 228.78, 342.90 and 167.94 is: 251.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.78 : 342.90 = 167.94 : x
  2. Step 2: Convert to fraction form
    228.78/342.90 = 167.94/x
  3. Step 3: Cross multiply
    228.78x = 342.90 × 167.94
  4. Step 4: Simplify right side
    228.78x = 57,586.63
  5. Step 5: Solve for x
    x = 57,586.63/228.78
  6. Step 6: Final answer
    x = 251.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.