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Finding the Fourth Proportional to 467.71, 701.57 and 143.08

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Solution

The fourth proportional to 467.71, 701.57 and 143.08 is: 214.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.71 : 701.57 = 143.08 : x
  2. Step 2: Convert to fraction form
    467.71/701.57 = 143.08/x
  3. Step 3: Cross multiply
    467.71x = 701.57 × 143.08
  4. Step 4: Simplify right side
    467.71x = 100,380.64
  5. Step 5: Solve for x
    x = 100,380.64/467.71
  6. Step 6: Final answer
    x = 214.62

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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.