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Finding the Fourth Proportional to 338.85, 508.34 and 143.85

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Solution

The fourth proportional to 338.85, 508.34 and 143.85 is: 215.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.85 : 508.34 = 143.85 : x
  2. Step 2: Convert to fraction form
    338.85/508.34 = 143.85/x
  3. Step 3: Cross multiply
    338.85x = 508.34 × 143.85
  4. Step 4: Simplify right side
    338.85x = 73,122.59
  5. Step 5: Solve for x
    x = 73,122.59/338.85
  6. Step 6: Final answer
    x = 215.80

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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.