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Finding the Fourth Proportional to 265.25, 367.61 and 261.20

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Solution

The fourth proportional to 265.25, 367.61 and 261.20 is: 362.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.25 : 367.61 = 261.20 : x
  2. Step 2: Convert to fraction form
    265.25/367.61 = 261.20/x
  3. Step 3: Cross multiply
    265.25x = 367.61 × 261.20
  4. Step 4: Simplify right side
    265.25x = 96,019.73
  5. Step 5: Solve for x
    x = 96,019.73/265.25
  6. Step 6: Final answer
    x = 362.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.