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Finding the Fourth Proportional to 325.19, 448.69 and 194.15

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Solution

The fourth proportional to 325.19, 448.69 and 194.15 is: 267.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.19 : 448.69 = 194.15 : x
  2. Step 2: Convert to fraction form
    325.19/448.69 = 194.15/x
  3. Step 3: Cross multiply
    325.19x = 448.69 × 194.15
  4. Step 4: Simplify right side
    325.19x = 87,113.16
  5. Step 5: Solve for x
    x = 87,113.16/325.19
  6. Step 6: Final answer
    x = 267.88

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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.