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Finding the Fourth Proportional to 467.82, 701.72 and 143.22

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Solution

The fourth proportional to 467.82, 701.72 and 143.22 is: 214.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.82 : 701.72 = 143.22 : x
  2. Step 2: Convert to fraction form
    467.82/701.72 = 143.22/x
  3. Step 3: Cross multiply
    467.82x = 701.72 × 143.22
  4. Step 4: Simplify right side
    467.82x = 100,500.34
  5. Step 5: Solve for x
    x = 100,500.34/467.82
  6. Step 6: Final answer
    x = 214.83

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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.