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Finding the Fourth Proportional to 325.15, 448.71 and 194.13

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Solution

The fourth proportional to 325.15, 448.71 and 194.13 is: 267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.15 : 448.71 = 194.13 : x
  2. Step 2: Convert to fraction form
    325.15/448.71 = 194.13/x
  3. Step 3: Cross multiply
    325.15x = 448.71 × 194.13
  4. Step 4: Simplify right side
    325.15x = 87,107.34
  5. Step 5: Solve for x
    x = 87,107.34/325.15
  6. Step 6: Final answer
    x = 267.90

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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.