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Finding the Fourth Proportional to 223.09, 332.72 and 190.81

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Solution

The fourth proportional to 223.09, 332.72 and 190.81 is: 284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.09 : 332.72 = 190.81 : x
  2. Step 2: Convert to fraction form
    223.09/332.72 = 190.81/x
  3. Step 3: Cross multiply
    223.09x = 332.72 × 190.81
  4. Step 4: Simplify right side
    223.09x = 63,486.30
  5. Step 5: Solve for x
    x = 63,486.30/223.09
  6. Step 6: Final answer
    x = 284.58

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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.