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Finding the Fourth Proportional to 223.83, 335.58 and 142.58

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Solution

The fourth proportional to 223.83, 335.58 and 142.58 is: 213.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.83 : 335.58 = 142.58 : x
  2. Step 2: Convert to fraction form
    223.83/335.58 = 142.58/x
  3. Step 3: Cross multiply
    223.83x = 335.58 × 142.58
  4. Step 4: Simplify right side
    223.83x = 47,845.32
  5. Step 5: Solve for x
    x = 47,845.32/223.83
  6. Step 6: Final answer
    x = 213.76

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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.