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Finding the Fourth Proportional to 339.30, 508.92 and 165.90

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Solution

The fourth proportional to 339.30, 508.92 and 165.90 is: 248.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.30 : 508.92 = 165.90 : x
  2. Step 2: Convert to fraction form
    339.30/508.92 = 165.90/x
  3. Step 3: Cross multiply
    339.30x = 508.92 × 165.90
  4. Step 4: Simplify right side
    339.30x = 84,429.83
  5. Step 5: Solve for x
    x = 84,429.83/339.30
  6. Step 6: Final answer
    x = 248.84

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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.