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Finding the Fourth Proportional to 223.50, 334.80 and 142.14

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Solution

The fourth proportional to 223.50, 334.80 and 142.14 is: 212.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.50 : 334.80 = 142.14 : x
  2. Step 2: Convert to fraction form
    223.50/334.80 = 142.14/x
  3. Step 3: Cross multiply
    223.50x = 334.80 × 142.14
  4. Step 4: Simplify right side
    223.50x = 47,588.47
  5. Step 5: Solve for x
    x = 47,588.47/223.50
  6. Step 6: Final answer
    x = 212.92

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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.