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Finding the Fourth Proportional to 398.72, 551.00 and 325.01

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Solution

The fourth proportional to 398.72, 551.00 and 325.01 is: 449.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.72 : 551.00 = 325.01 : x
  2. Step 2: Convert to fraction form
    398.72/551.00 = 325.01/x
  3. Step 3: Cross multiply
    398.72x = 551.00 × 325.01
  4. Step 4: Simplify right side
    398.72x = 179,082.70
  5. Step 5: Solve for x
    x = 179,082.70/398.72
  6. Step 6: Final answer
    x = 449.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.