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Finding the Fourth Proportional to 218.49, 299.36 and 215.61

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Solution

The fourth proportional to 218.49, 299.36 and 215.61 is: 295.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.49 : 299.36 = 215.61 : x
  2. Step 2: Convert to fraction form
    218.49/299.36 = 215.61/x
  3. Step 3: Cross multiply
    218.49x = 299.36 × 215.61
  4. Step 4: Simplify right side
    218.49x = 64,543.93
  5. Step 5: Solve for x
    x = 64,543.93/218.49
  6. Step 6: Final answer
    x = 295.41

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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.