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Finding the Fourth Proportional to 217.48, 299.94 and 178.60

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Solution

The fourth proportional to 217.48, 299.94 and 178.60 is: 246.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.48 : 299.94 = 178.60 : x
  2. Step 2: Convert to fraction form
    217.48/299.94 = 178.60/x
  3. Step 3: Cross multiply
    217.48x = 299.94 × 178.60
  4. Step 4: Simplify right side
    217.48x = 53,569.28
  5. Step 5: Solve for x
    x = 53,569.28/217.48
  6. Step 6: Final answer
    x = 246.32

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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.