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Finding the Fourth Proportional to 265.06, 398.40 and 193.78

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Solution

The fourth proportional to 265.06, 398.40 and 193.78 is: 291.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.06 : 398.40 = 193.78 : x
  2. Step 2: Convert to fraction form
    265.06/398.40 = 193.78/x
  3. Step 3: Cross multiply
    265.06x = 398.40 × 193.78
  4. Step 4: Simplify right side
    265.06x = 77,201.95
  5. Step 5: Solve for x
    x = 77,201.95/265.06
  6. Step 6: Final answer
    x = 291.26

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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.