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Finding the Fourth Proportional to 216.14, 297.95 and 178.62

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Solution

The fourth proportional to 216.14, 297.95 and 178.62 is: 246.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.14 : 297.95 = 178.62 : x
  2. Step 2: Convert to fraction form
    216.14/297.95 = 178.62/x
  3. Step 3: Cross multiply
    216.14x = 297.95 × 178.62
  4. Step 4: Simplify right side
    216.14x = 53,218.94
  5. Step 5: Solve for x
    x = 53,218.94/216.14
  6. Step 6: Final answer
    x = 246.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.