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Finding the Fourth Proportional to 215.17, 324.22 and 177.49

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Solution

The fourth proportional to 215.17, 324.22 and 177.49 is: 267.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.17 : 324.22 = 177.49 : x
  2. Step 2: Convert to fraction form
    215.17/324.22 = 177.49/x
  3. Step 3: Cross multiply
    215.17x = 324.22 × 177.49
  4. Step 4: Simplify right side
    215.17x = 57,545.81
  5. Step 5: Solve for x
    x = 57,545.81/215.17
  6. Step 6: Final answer
    x = 267.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.