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Finding the Fourth Proportional to 223.12, 332.64 and 217.51

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Solution

The fourth proportional to 223.12, 332.64 and 217.51 is: 324.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.12 : 332.64 = 217.51 : x
  2. Step 2: Convert to fraction form
    223.12/332.64 = 217.51/x
  3. Step 3: Cross multiply
    223.12x = 332.64 × 217.51
  4. Step 4: Simplify right side
    223.12x = 72,352.53
  5. Step 5: Solve for x
    x = 72,352.53/223.12
  6. Step 6: Final answer
    x = 324.28

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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.