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Finding the Fourth Proportional to 328.70, 495.62 and 325.16

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Solution

The fourth proportional to 328.70, 495.62 and 325.16 is: 490.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.70 : 495.62 = 325.16 : x
  2. Step 2: Convert to fraction form
    328.70/495.62 = 325.16/x
  3. Step 3: Cross multiply
    328.70x = 495.62 × 325.16
  4. Step 4: Simplify right side
    328.70x = 161,155.80
  5. Step 5: Solve for x
    x = 161,155.80/328.70
  6. Step 6: Final answer
    x = 490.28

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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.