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Finding the Fourth Proportional to 339.21, 508.59 and 165.72

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Solution

The fourth proportional to 339.21, 508.59 and 165.72 is: 248.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.21 : 508.59 = 165.72 : x
  2. Step 2: Convert to fraction form
    339.21/508.59 = 165.72/x
  3. Step 3: Cross multiply
    339.21x = 508.59 × 165.72
  4. Step 4: Simplify right side
    339.21x = 84,283.53
  5. Step 5: Solve for x
    x = 84,283.53/339.21
  6. Step 6: Final answer
    x = 248.47

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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.