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Finding the Fourth Proportional to 328.62, 491.56 and 270.18

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Solution

The fourth proportional to 328.62, 491.56 and 270.18 is: 404.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.62 : 491.56 = 270.18 : x
  2. Step 2: Convert to fraction form
    328.62/491.56 = 270.18/x
  3. Step 3: Cross multiply
    328.62x = 491.56 × 270.18
  4. Step 4: Simplify right side
    328.62x = 132,809.68
  5. Step 5: Solve for x
    x = 132,809.68/328.62
  6. Step 6: Final answer
    x = 404.14

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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.