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Finding the Fourth Proportional to 223.14, 334.62 and 101.49

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Solution

The fourth proportional to 223.14, 334.62 and 101.49 is: 152.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.14 : 334.62 = 101.49 : x
  2. Step 2: Convert to fraction form
    223.14/334.62 = 101.49/x
  3. Step 3: Cross multiply
    223.14x = 334.62 × 101.49
  4. Step 4: Simplify right side
    223.14x = 33,960.58
  5. Step 5: Solve for x
    x = 33,960.58/223.14
  6. Step 6: Final answer
    x = 152.19

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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.