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Finding the Fourth Proportional to 217.48, 299.84 and 186.16

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Solution

The fourth proportional to 217.48, 299.84 and 186.16 is: 256.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.48 : 299.84 = 186.16 : x
  2. Step 2: Convert to fraction form
    217.48/299.84 = 186.16/x
  3. Step 3: Cross multiply
    217.48x = 299.84 × 186.16
  4. Step 4: Simplify right side
    217.48x = 55,818.21
  5. Step 5: Solve for x
    x = 55,818.21/217.48
  6. Step 6: Final answer
    x = 256.66

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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.