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Finding the Fourth Proportional to 467.89, 701.85 and 138.83

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Solution

The fourth proportional to 467.89, 701.85 and 138.83 is: 208.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.89 : 701.85 = 138.83 : x
  2. Step 2: Convert to fraction form
    467.89/701.85 = 138.83/x
  3. Step 3: Cross multiply
    467.89x = 701.85 × 138.83
  4. Step 4: Simplify right side
    467.89x = 97,437.48
  5. Step 5: Solve for x
    x = 97,437.48/467.89
  6. Step 6: Final answer
    x = 208.25

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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.