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Finding the Fourth Proportional to 339.18, 508.32 and 217.24

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Solution

The fourth proportional to 339.18, 508.32 and 217.24 is: 325.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.18 : 508.32 = 217.24 : x
  2. Step 2: Convert to fraction form
    339.18/508.32 = 217.24/x
  3. Step 3: Cross multiply
    339.18x = 508.32 × 217.24
  4. Step 4: Simplify right side
    339.18x = 110,427.44
  5. Step 5: Solve for x
    x = 110,427.44/339.18
  6. Step 6: Final answer
    x = 325.57

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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.