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Finding the Fourth Proportional to 339.08, 508.65 and 122.66

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Solution

The fourth proportional to 339.08, 508.65 and 122.66 is: 184.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.08 : 508.65 = 122.66 : x
  2. Step 2: Convert to fraction form
    339.08/508.65 = 122.66/x
  3. Step 3: Cross multiply
    339.08x = 508.65 × 122.66
  4. Step 4: Simplify right side
    339.08x = 62,388.47
  5. Step 5: Solve for x
    x = 62,388.47/339.08
  6. Step 6: Final answer
    x = 184.00

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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.