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Finding the Fourth Proportional to 339.17, 508.36 and 144.05

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Solution

The fourth proportional to 339.17, 508.36 and 144.05 is: 215.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.17 : 508.36 = 144.05 : x
  2. Step 2: Convert to fraction form
    339.17/508.36 = 144.05/x
  3. Step 3: Cross multiply
    339.17x = 508.36 × 144.05
  4. Step 4: Simplify right side
    339.17x = 73,226.63
  5. Step 5: Solve for x
    x = 73,226.63/339.17
  6. Step 6: Final answer
    x = 215.90

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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.