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Finding the Fourth Proportional to 245.77, 339.17 and 140.88

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Solution

The fourth proportional to 245.77, 339.17 and 140.88 is: 194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.77 : 339.17 = 140.88 : x
  2. Step 2: Convert to fraction form
    245.77/339.17 = 140.88/x
  3. Step 3: Cross multiply
    245.77x = 339.17 × 140.88
  4. Step 4: Simplify right side
    245.77x = 47,782.27
  5. Step 5: Solve for x
    x = 47,782.27/245.77
  6. Step 6: Final answer
    x = 194.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.