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Finding the Fourth Proportional to 265.11, 398.73 and 240.27

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Solution

The fourth proportional to 265.11, 398.73 and 240.27 is: 361.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.11 : 398.73 = 240.27 : x
  2. Step 2: Convert to fraction form
    265.11/398.73 = 240.27/x
  3. Step 3: Cross multiply
    265.11x = 398.73 × 240.27
  4. Step 4: Simplify right side
    265.11x = 95,802.86
  5. Step 5: Solve for x
    x = 95,802.86/265.11
  6. Step 6: Final answer
    x = 361.37

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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.