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Finding the Fourth Proportional to 399.34, 599.36 and 308.59

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Solution

The fourth proportional to 399.34, 599.36 and 308.59 is: 463.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.34 : 599.36 = 308.59 : x
  2. Step 2: Convert to fraction form
    399.34/599.36 = 308.59/x
  3. Step 3: Cross multiply
    399.34x = 599.36 × 308.59
  4. Step 4: Simplify right side
    399.34x = 184,956.50
  5. Step 5: Solve for x
    x = 184,956.50/399.34
  6. Step 6: Final answer
    x = 463.16

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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.