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Finding the Fourth Proportional to 223.08, 331.56 and 217.02

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Solution

The fourth proportional to 223.08, 331.56 and 217.02 is: 322.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.08 : 331.56 = 217.02 : x
  2. Step 2: Convert to fraction form
    223.08/331.56 = 217.02/x
  3. Step 3: Cross multiply
    223.08x = 331.56 × 217.02
  4. Step 4: Simplify right side
    223.08x = 71,955.15
  5. Step 5: Solve for x
    x = 71,955.15/223.08
  6. Step 6: Final answer
    x = 322.55

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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.