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Finding the Fourth Proportional to 467.94, 701.78 and 138.80

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Solution

The fourth proportional to 467.94, 701.78 and 138.80 is: 208.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.94 : 701.78 = 138.80 : x
  2. Step 2: Convert to fraction form
    467.94/701.78 = 138.80/x
  3. Step 3: Cross multiply
    467.94x = 701.78 × 138.80
  4. Step 4: Simplify right side
    467.94x = 97,402.86
  5. Step 5: Solve for x
    x = 97,402.86/467.94
  6. Step 6: Final answer
    x = 208.15

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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.