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Finding the Fourth Proportional to 325.32, 448.80 and 208.86

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Solution

The fourth proportional to 325.32, 448.80 and 208.86 is: 288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.32 : 448.80 = 208.86 : x
  2. Step 2: Convert to fraction form
    325.32/448.80 = 208.86/x
  3. Step 3: Cross multiply
    325.32x = 448.80 × 208.86
  4. Step 4: Simplify right side
    325.32x = 93,736.37
  5. Step 5: Solve for x
    x = 93,736.37/325.32
  6. Step 6: Final answer
    x = 288.14

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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.