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Finding the Fourth Proportional to 328.28, 491.60 and 311.27

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Solution

The fourth proportional to 328.28, 491.60 and 311.27 is: 466.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.28 : 491.60 = 311.27 : x
  2. Step 2: Convert to fraction form
    328.28/491.60 = 311.27/x
  3. Step 3: Cross multiply
    328.28x = 491.60 × 311.27
  4. Step 4: Simplify right side
    328.28x = 153,018.65
  5. Step 5: Solve for x
    x = 153,018.65/328.28
  6. Step 6: Final answer
    x = 466.13

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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.