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Finding the Fourth Proportional to 223.29, 335.05 and 101.53

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Solution

The fourth proportional to 223.29, 335.05 and 101.53 is: 152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.29 : 335.05 = 101.53 : x
  2. Step 2: Convert to fraction form
    223.29/335.05 = 101.53/x
  3. Step 3: Cross multiply
    223.29x = 335.05 × 101.53
  4. Step 4: Simplify right side
    223.29x = 34,016.54
  5. Step 5: Solve for x
    x = 34,016.54/223.29
  6. Step 6: Final answer
    x = 152.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.