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Finding the Fourth Proportional to 467.71, 701.08 and 207.85

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Solution

The fourth proportional to 467.71, 701.08 and 207.85 is: 311.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.71 : 701.08 = 207.85 : x
  2. Step 2: Convert to fraction form
    467.71/701.08 = 207.85/x
  3. Step 3: Cross multiply
    467.71x = 701.08 × 207.85
  4. Step 4: Simplify right side
    467.71x = 145,719.48
  5. Step 5: Solve for x
    x = 145,719.48/467.71
  6. Step 6: Final answer
    x = 311.56

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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.