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Finding the Fourth Proportional to 217.24, 299.82 and 186.40

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Solution

The fourth proportional to 217.24, 299.82 and 186.40 is: 257.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.24 : 299.82 = 186.40 : x
  2. Step 2: Convert to fraction form
    217.24/299.82 = 186.40/x
  3. Step 3: Cross multiply
    217.24x = 299.82 × 186.40
  4. Step 4: Simplify right side
    217.24x = 55,886.45
  5. Step 5: Solve for x
    x = 55,886.45/217.24
  6. Step 6: Final answer
    x = 257.26

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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.