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Finding the Fourth Proportional to 265.63, 398.24 and 126.74

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Solution

The fourth proportional to 265.63, 398.24 and 126.74 is: 190.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.63 : 398.24 = 126.74 : x
  2. Step 2: Convert to fraction form
    265.63/398.24 = 126.74/x
  3. Step 3: Cross multiply
    265.63x = 398.24 × 126.74
  4. Step 4: Simplify right side
    265.63x = 50,470.95
  5. Step 5: Solve for x
    x = 50,470.95/265.63
  6. Step 6: Final answer
    x = 190.00

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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.