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Finding the Fourth Proportional to 328.15, 452.89 and 195.43

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Solution

The fourth proportional to 328.15, 452.89 and 195.43 is: 269.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.15 : 452.89 = 195.43 : x
  2. Step 2: Convert to fraction form
    328.15/452.89 = 195.43/x
  3. Step 3: Cross multiply
    328.15x = 452.89 × 195.43
  4. Step 4: Simplify right side
    328.15x = 88,508.29
  5. Step 5: Solve for x
    x = 88,508.29/328.15
  6. Step 6: Final answer
    x = 269.72

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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.