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Finding the Fourth Proportional to 328.92, 495.34 and 277.90

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Solution

The fourth proportional to 328.92, 495.34 and 277.90 is: 418.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.92 : 495.34 = 277.90 : x
  2. Step 2: Convert to fraction form
    328.92/495.34 = 277.90/x
  3. Step 3: Cross multiply
    328.92x = 495.34 × 277.90
  4. Step 4: Simplify right side
    328.92x = 137,654.99
  5. Step 5: Solve for x
    x = 137,654.99/328.92
  6. Step 6: Final answer
    x = 418.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.