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Finding the Fourth Proportional to 218.85, 299.85 and 215.82

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Solution

The fourth proportional to 218.85, 299.85 and 215.82 is: 295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.85 : 299.85 = 215.82 : x
  2. Step 2: Convert to fraction form
    218.85/299.85 = 215.82/x
  3. Step 3: Cross multiply
    218.85x = 299.85 × 215.82
  4. Step 4: Simplify right side
    218.85x = 64,713.63
  5. Step 5: Solve for x
    x = 64,713.63/218.85
  6. Step 6: Final answer
    x = 295.70

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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.