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Finding the Fourth Proportional to 467.46, 701.22 and 138.41

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Solution

The fourth proportional to 467.46, 701.22 and 138.41 is: 207.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.46 : 701.22 = 138.41 : x
  2. Step 2: Convert to fraction form
    467.46/701.22 = 138.41/x
  3. Step 3: Cross multiply
    467.46x = 701.22 × 138.41
  4. Step 4: Simplify right side
    467.46x = 97,055.86
  5. Step 5: Solve for x
    x = 97,055.86/467.46
  6. Step 6: Final answer
    x = 207.62

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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.