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Finding the Fourth Proportional to 216.17, 325.85 and 203.63

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Solution

The fourth proportional to 216.17, 325.85 and 203.63 is: 306.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.17 : 325.85 = 203.63 : x
  2. Step 2: Convert to fraction form
    216.17/325.85 = 203.63/x
  3. Step 3: Cross multiply
    216.17x = 325.85 × 203.63
  4. Step 4: Simplify right side
    216.17x = 66,352.02
  5. Step 5: Solve for x
    x = 66,352.02/216.17
  6. Step 6: Final answer
    x = 306.94

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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.