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Finding the Fourth Proportional to 265.41, 397.85 and 126.34

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Solution

The fourth proportional to 265.41, 397.85 and 126.34 is: 189.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.41 : 397.85 = 126.34 : x
  2. Step 2: Convert to fraction form
    265.41/397.85 = 126.34/x
  3. Step 3: Cross multiply
    265.41x = 397.85 × 126.34
  4. Step 4: Simplify right side
    265.41x = 50,263.86
  5. Step 5: Solve for x
    x = 50,263.86/265.41
  6. Step 6: Final answer
    x = 189.38

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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.