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Finding the Fourth Proportional to 245.64, 338.90 and 140.66

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Solution

The fourth proportional to 245.64, 338.90 and 140.66 is: 194.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.64 : 338.90 = 140.66 : x
  2. Step 2: Convert to fraction form
    245.64/338.90 = 140.66/x
  3. Step 3: Cross multiply
    245.64x = 338.90 × 140.66
  4. Step 4: Simplify right side
    245.64x = 47,668.35
  5. Step 5: Solve for x
    x = 47,668.35/245.64
  6. Step 6: Final answer
    x = 194.05

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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.