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Finding the Fourth Proportional to 339.82, 507.98 and 252.34

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Solution

The fourth proportional to 339.82, 507.98 and 252.34 is: 377.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.82 : 507.98 = 252.34 : x
  2. Step 2: Convert to fraction form
    339.82/507.98 = 252.34/x
  3. Step 3: Cross multiply
    339.82x = 507.98 × 252.34
  4. Step 4: Simplify right side
    339.82x = 128,183.03
  5. Step 5: Solve for x
    x = 128,183.03/339.82
  6. Step 6: Final answer
    x = 377.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.