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Finding the Fourth Proportional to 218.43, 298.75 and 215.19

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Solution

The fourth proportional to 218.43, 298.75 and 215.19 is: 294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.43 : 298.75 = 215.19 : x
  2. Step 2: Convert to fraction form
    218.43/298.75 = 215.19/x
  3. Step 3: Cross multiply
    218.43x = 298.75 × 215.19
  4. Step 4: Simplify right side
    218.43x = 64,286.52
  5. Step 5: Solve for x
    x = 64,286.52/218.43
  6. Step 6: Final answer
    x = 294.32

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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.