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Finding the Fourth Proportional to 223.48, 333.57 and 194.52

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Solution

The fourth proportional to 223.48, 333.57 and 194.52 is: 290.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.48 : 333.57 = 194.52 : x
  2. Step 2: Convert to fraction form
    223.48/333.57 = 194.52/x
  3. Step 3: Cross multiply
    223.48x = 333.57 × 194.52
  4. Step 4: Simplify right side
    223.48x = 64,886.04
  5. Step 5: Solve for x
    x = 64,886.04/223.48
  6. Step 6: Final answer
    x = 290.34

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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.