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Finding the Fourth Proportional to 215.78, 323.96 and 177.81

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Solution

The fourth proportional to 215.78, 323.96 and 177.81 is: 266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.78 : 323.96 = 177.81 : x
  2. Step 2: Convert to fraction form
    215.78/323.96 = 177.81/x
  3. Step 3: Cross multiply
    215.78x = 323.96 × 177.81
  4. Step 4: Simplify right side
    215.78x = 57,602.44
  5. Step 5: Solve for x
    x = 57,602.44/215.78
  6. Step 6: Final answer
    x = 266.96

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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.