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Finding the Fourth Proportional to 399.41, 598.96 and 139.34

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Solution

The fourth proportional to 399.41, 598.96 and 139.34 is: 208.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.41 : 598.96 = 139.34 : x
  2. Step 2: Convert to fraction form
    399.41/598.96 = 139.34/x
  3. Step 3: Cross multiply
    399.41x = 598.96 × 139.34
  4. Step 4: Simplify right side
    399.41x = 83,459.09
  5. Step 5: Solve for x
    x = 83,459.09/399.41
  6. Step 6: Final answer
    x = 208.96

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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.