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Finding the Fourth Proportional to 344.06, 515.96 and 138.58

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Solution

The fourth proportional to 344.06, 515.96 and 138.58 is: 207.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.06 : 515.96 = 138.58 : x
  2. Step 2: Convert to fraction form
    344.06/515.96 = 138.58/x
  3. Step 3: Cross multiply
    344.06x = 515.96 × 138.58
  4. Step 4: Simplify right side
    344.06x = 71,499.16
  5. Step 5: Solve for x
    x = 71,499.16/344.06
  6. Step 6: Final answer
    x = 207.81

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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.