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Finding the Fourth Proportional to 216.83, 324.08 and 177.88

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Solution

The fourth proportional to 216.83, 324.08 and 177.88 is: 265.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.83 : 324.08 = 177.88 : x
  2. Step 2: Convert to fraction form
    216.83/324.08 = 177.88/x
  3. Step 3: Cross multiply
    216.83x = 324.08 × 177.88
  4. Step 4: Simplify right side
    216.83x = 57,647.35
  5. Step 5: Solve for x
    x = 57,647.35/216.83
  6. Step 6: Final answer
    x = 265.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.