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Finding the Fourth Proportional to 339.06, 508.44 and 144.05

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Solution

The fourth proportional to 339.06, 508.44 and 144.05 is: 216.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.06 : 508.44 = 144.05 : x
  2. Step 2: Convert to fraction form
    339.06/508.44 = 144.05/x
  3. Step 3: Cross multiply
    339.06x = 508.44 × 144.05
  4. Step 4: Simplify right side
    339.06x = 73,242.46
  5. Step 5: Solve for x
    x = 73,242.46/339.06
  6. Step 6: Final answer
    x = 216.02

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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.