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Finding the Fourth Proportional to 265.47, 395.83 and 261.42

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Solution

The fourth proportional to 265.47, 395.83 and 261.42 is: 389.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.47 : 395.83 = 261.42 : x
  2. Step 2: Convert to fraction form
    265.47/395.83 = 261.42/x
  3. Step 3: Cross multiply
    265.47x = 395.83 × 261.42
  4. Step 4: Simplify right side
    265.47x = 103,477.88
  5. Step 5: Solve for x
    x = 103,477.88/265.47
  6. Step 6: Final answer
    x = 389.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.