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Finding the Fourth Proportional to 366.48, 508.26 and 353.52

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Solution

The fourth proportional to 366.48, 508.26 and 353.52 is: 490.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.48 : 508.26 = 353.52 : x
  2. Step 2: Convert to fraction form
    366.48/508.26 = 353.52/x
  3. Step 3: Cross multiply
    366.48x = 508.26 × 353.52
  4. Step 4: Simplify right side
    366.48x = 179,680.08
  5. Step 5: Solve for x
    x = 179,680.08/366.48
  6. Step 6: Final answer
    x = 490.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.