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Finding the Fourth Proportional to 325.63, 449.70 and 207.66

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Solution

The fourth proportional to 325.63, 449.70 and 207.66 is: 286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.63 : 449.70 = 207.66 : x
  2. Step 2: Convert to fraction form
    325.63/449.70 = 207.66/x
  3. Step 3: Cross multiply
    325.63x = 449.70 × 207.66
  4. Step 4: Simplify right side
    325.63x = 93,384.88
  5. Step 5: Solve for x
    x = 93,384.88/325.63
  6. Step 6: Final answer
    x = 286.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.