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Finding the Fourth Proportional to 265.76, 398.80 and 137.60

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Solution

The fourth proportional to 265.76, 398.80 and 137.60 is: 206.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.76 : 398.80 = 137.60 : x
  2. Step 2: Convert to fraction form
    265.76/398.80 = 137.60/x
  3. Step 3: Cross multiply
    265.76x = 398.80 × 137.60
  4. Step 4: Simplify right side
    265.76x = 54,874.88
  5. Step 5: Solve for x
    x = 54,874.88/265.76
  6. Step 6: Final answer
    x = 206.48

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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.