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Finding the Fourth Proportional to 216.64, 299.20 and 168.10

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Solution

The fourth proportional to 216.64, 299.20 and 168.10 is: 232.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.64 : 299.20 = 168.10 : x
  2. Step 2: Convert to fraction form
    216.64/299.20 = 168.10/x
  3. Step 3: Cross multiply
    216.64x = 299.20 × 168.10
  4. Step 4: Simplify right side
    216.64x = 50,295.52
  5. Step 5: Solve for x
    x = 50,295.52/216.64
  6. Step 6: Final answer
    x = 232.16

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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.