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Finding the Fourth Proportional to 223.96, 306.83 and 215.32

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Solution

The fourth proportional to 223.96, 306.83 and 215.32 is: 294.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.96 : 306.83 = 215.32 : x
  2. Step 2: Convert to fraction form
    223.96/306.83 = 215.32/x
  3. Step 3: Cross multiply
    223.96x = 306.83 × 215.32
  4. Step 4: Simplify right side
    223.96x = 66,066.64
  5. Step 5: Solve for x
    x = 66,066.64/223.96
  6. Step 6: Final answer
    x = 294.99

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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.