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Finding the Fourth Proportional to 218.94, 302.16 and 166.64

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Solution

The fourth proportional to 218.94, 302.16 and 166.64 is: 229.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.94 : 302.16 = 166.64 : x
  2. Step 2: Convert to fraction form
    218.94/302.16 = 166.64/x
  3. Step 3: Cross multiply
    218.94x = 302.16 × 166.64
  4. Step 4: Simplify right side
    218.94x = 50,350.43
  5. Step 5: Solve for x
    x = 50,350.43/218.94
  6. Step 6: Final answer
    x = 229.97

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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.