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Finding the Fourth Proportional to 325.27, 448.49 and 208.63

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Solution

The fourth proportional to 325.27, 448.49 and 208.63 is: 287.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.27 : 448.49 = 208.63 : x
  2. Step 2: Convert to fraction form
    325.27/448.49 = 208.63/x
  3. Step 3: Cross multiply
    325.27x = 448.49 × 208.63
  4. Step 4: Simplify right side
    325.27x = 93,565.18
  5. Step 5: Solve for x
    x = 93,565.18/325.27
  6. Step 6: Final answer
    x = 287.66

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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.