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Finding the Fourth Proportional to 339.31, 508.78 and 122.77

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Solution

The fourth proportional to 339.31, 508.78 and 122.77 is: 184.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.31 : 508.78 = 122.77 : x
  2. Step 2: Convert to fraction form
    339.31/508.78 = 122.77/x
  3. Step 3: Cross multiply
    339.31x = 508.78 × 122.77
  4. Step 4: Simplify right side
    339.31x = 62,462.92
  5. Step 5: Solve for x
    x = 62,462.92/339.31
  6. Step 6: Final answer
    x = 184.09

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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.