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Finding the Fourth Proportional to 265.88, 398.37 and 168.14

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Solution

The fourth proportional to 265.88, 398.37 and 168.14 is: 251.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.88 : 398.37 = 168.14 : x
  2. Step 2: Convert to fraction form
    265.88/398.37 = 168.14/x
  3. Step 3: Cross multiply
    265.88x = 398.37 × 168.14
  4. Step 4: Simplify right side
    265.88x = 66,981.93
  5. Step 5: Solve for x
    x = 66,981.93/265.88
  6. Step 6: Final answer
    x = 251.93

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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.