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Finding the Fourth Proportional to 223.40, 306.32 and 215.67

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Solution

The fourth proportional to 223.40, 306.32 and 215.67 is: 295.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.40 : 306.32 = 215.67 : x
  2. Step 2: Convert to fraction form
    223.40/306.32 = 215.67/x
  3. Step 3: Cross multiply
    223.40x = 306.32 × 215.67
  4. Step 4: Simplify right side
    223.40x = 66,064.03
  5. Step 5: Solve for x
    x = 66,064.03/223.40
  6. Step 6: Final answer
    x = 295.72

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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.