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Finding the Fourth Proportional to 245.70, 339.01 and 140.77

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Solution

The fourth proportional to 245.70, 339.01 and 140.77 is: 194.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.70 : 339.01 = 140.77 : x
  2. Step 2: Convert to fraction form
    245.70/339.01 = 140.77/x
  3. Step 3: Cross multiply
    245.70x = 339.01 × 140.77
  4. Step 4: Simplify right side
    245.70x = 47,722.44
  5. Step 5: Solve for x
    x = 47,722.44/245.70
  6. Step 6: Final answer
    x = 194.23

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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.