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Finding the Fourth Proportional to 245.91, 339.35 and 140.97

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Solution

The fourth proportional to 245.91, 339.35 and 140.97 is: 194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.91 : 339.35 = 140.97 : x
  2. Step 2: Convert to fraction form
    245.91/339.35 = 140.97/x
  3. Step 3: Cross multiply
    245.91x = 339.35 × 140.97
  4. Step 4: Simplify right side
    245.91x = 47,838.17
  5. Step 5: Solve for x
    x = 47,838.17/245.91
  6. Step 6: Final answer
    x = 194.54

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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.