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Finding the Fourth Proportional to 223.23, 332.47 and 219.86

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Solution

The fourth proportional to 223.23, 332.47 and 219.86 is: 327.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.23 : 332.47 = 219.86 : x
  2. Step 2: Convert to fraction form
    223.23/332.47 = 219.86/x
  3. Step 3: Cross multiply
    223.23x = 332.47 × 219.86
  4. Step 4: Simplify right side
    223.23x = 73,096.85
  5. Step 5: Solve for x
    x = 73,096.85/223.23
  6. Step 6: Final answer
    x = 327.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.