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Finding the Fourth Proportional to 218.02, 299.06 and 213.46

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Solution

The fourth proportional to 218.02, 299.06 and 213.46 is: 292.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.02 : 299.06 = 213.46 : x
  2. Step 2: Convert to fraction form
    218.02/299.06 = 213.46/x
  3. Step 3: Cross multiply
    218.02x = 299.06 × 213.46
  4. Step 4: Simplify right side
    218.02x = 63,837.62
  5. Step 5: Solve for x
    x = 63,837.62/218.02
  6. Step 6: Final answer
    x = 292.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.