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Finding the Fourth Proportional to 399.34, 599.28 and 308.62

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Solution

The fourth proportional to 399.34, 599.28 and 308.62 is: 463.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.34 : 599.28 = 308.62 : x
  2. Step 2: Convert to fraction form
    399.34/599.28 = 308.62/x
  3. Step 3: Cross multiply
    399.34x = 599.28 × 308.62
  4. Step 4: Simplify right side
    399.34x = 184,949.79
  5. Step 5: Solve for x
    x = 184,949.79/399.34
  6. Step 6: Final answer
    x = 463.14

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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.