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Finding the Fourth Proportional to 216.17, 325.73 and 178.49

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Solution

The fourth proportional to 216.17, 325.73 and 178.49 is: 268.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.17 : 325.73 = 178.49 : x
  2. Step 2: Convert to fraction form
    216.17/325.73 = 178.49/x
  3. Step 3: Cross multiply
    216.17x = 325.73 × 178.49
  4. Step 4: Simplify right side
    216.17x = 58,139.55
  5. Step 5: Solve for x
    x = 58,139.55/216.17
  6. Step 6: Final answer
    x = 268.95

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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.