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Finding the Fourth Proportional to 218.36, 298.67 and 215.12

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Solution

The fourth proportional to 218.36, 298.67 and 215.12 is: 294.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.36 : 298.67 = 215.12 : x
  2. Step 2: Convert to fraction form
    218.36/298.67 = 215.12/x
  3. Step 3: Cross multiply
    218.36x = 298.67 × 215.12
  4. Step 4: Simplify right side
    218.36x = 64,250.77
  5. Step 5: Solve for x
    x = 64,250.77/218.36
  6. Step 6: Final answer
    x = 294.24

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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.