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Finding the Fourth Proportional to 325.30, 487.62 and 209.42

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Solution

The fourth proportional to 325.30, 487.62 and 209.42 is: 313.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.30 : 487.62 = 209.42 : x
  2. Step 2: Convert to fraction form
    325.30/487.62 = 209.42/x
  3. Step 3: Cross multiply
    325.30x = 487.62 × 209.42
  4. Step 4: Simplify right side
    325.30x = 102,117.38
  5. Step 5: Solve for x
    x = 102,117.38/325.30
  6. Step 6: Final answer
    x = 313.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.