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Finding the Fourth Proportional to 493.92, 739.52 and 339.52

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Solution

The fourth proportional to 493.92, 739.52 and 339.52 is: 508.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.92 : 739.52 = 339.52 : x
  2. Step 2: Convert to fraction form
    493.92/739.52 = 339.52/x
  3. Step 3: Cross multiply
    493.92x = 739.52 × 339.52
  4. Step 4: Simplify right side
    493.92x = 251,081.83
  5. Step 5: Solve for x
    x = 251,081.83/493.92
  6. Step 6: Final answer
    x = 508.35

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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.