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Finding the Fourth Proportional to 235.54, 353.85 and 167.23

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Solution

The fourth proportional to 235.54, 353.85 and 167.23 is: 251.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.54 : 353.85 = 167.23 : x
  2. Step 2: Convert to fraction form
    235.54/353.85 = 167.23/x
  3. Step 3: Cross multiply
    235.54x = 353.85 × 167.23
  4. Step 4: Simplify right side
    235.54x = 59,174.34
  5. Step 5: Solve for x
    x = 59,174.34/235.54
  6. Step 6: Final answer
    x = 251.23

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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.