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Finding the Fourth Proportional to 278.06, 383.75 and 167.54

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Solution

The fourth proportional to 278.06, 383.75 and 167.54 is: 231.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.06 : 383.75 = 167.54 : x
  2. Step 2: Convert to fraction form
    278.06/383.75 = 167.54/x
  3. Step 3: Cross multiply
    278.06x = 383.75 × 167.54
  4. Step 4: Simplify right side
    278.06x = 64,293.60
  5. Step 5: Solve for x
    x = 64,293.60/278.06
  6. Step 6: Final answer
    x = 231.22

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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.