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Finding the Fourth Proportional to 339.34, 509.12 and 122.88

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Solution

The fourth proportional to 339.34, 509.12 and 122.88 is: 184.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.34 : 509.12 = 122.88 : x
  2. Step 2: Convert to fraction form
    339.34/509.12 = 122.88/x
  3. Step 3: Cross multiply
    339.34x = 509.12 × 122.88
  4. Step 4: Simplify right side
    339.34x = 62,560.67
  5. Step 5: Solve for x
    x = 62,560.67/339.34
  6. Step 6: Final answer
    x = 184.36

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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.