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Finding the Fourth Proportional to 251.48, 346.86 and 167.36

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Solution

The fourth proportional to 251.48, 346.86 and 167.36 is: 230.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.48 : 346.86 = 167.36 : x
  2. Step 2: Convert to fraction form
    251.48/346.86 = 167.36/x
  3. Step 3: Cross multiply
    251.48x = 346.86 × 167.36
  4. Step 4: Simplify right side
    251.48x = 58,050.49
  5. Step 5: Solve for x
    x = 58,050.49/251.48
  6. Step 6: Final answer
    x = 230.84

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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.