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Finding the Fourth Proportional to 265.78, 398.61 and 101.22

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Solution

The fourth proportional to 265.78, 398.61 and 101.22 is: 151.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.78 : 398.61 = 101.22 : x
  2. Step 2: Convert to fraction form
    265.78/398.61 = 101.22/x
  3. Step 3: Cross multiply
    265.78x = 398.61 × 101.22
  4. Step 4: Simplify right side
    265.78x = 40,345.31
  5. Step 5: Solve for x
    x = 40,345.31/265.78
  6. Step 6: Final answer
    x = 151.80

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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.