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Finding the Fourth Proportional to 339.01, 508.63 and 156.25

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Solution

The fourth proportional to 339.01, 508.63 and 156.25 is: 234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.01 : 508.63 = 156.25 : x
  2. Step 2: Convert to fraction form
    339.01/508.63 = 156.25/x
  3. Step 3: Cross multiply
    339.01x = 508.63 × 156.25
  4. Step 4: Simplify right side
    339.01x = 79,473.44
  5. Step 5: Solve for x
    x = 79,473.44/339.01
  6. Step 6: Final answer
    x = 234.43

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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.