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Finding the Fourth Proportional to 467.62, 700.74 and 207.39

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Solution

The fourth proportional to 467.62, 700.74 and 207.39 is: 310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.62 : 700.74 = 207.39 : x
  2. Step 2: Convert to fraction form
    467.62/700.74 = 207.39/x
  3. Step 3: Cross multiply
    467.62x = 700.74 × 207.39
  4. Step 4: Simplify right side
    467.62x = 145,326.47
  5. Step 5: Solve for x
    x = 145,326.47/467.62
  6. Step 6: Final answer
    x = 310.78

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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.