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Finding the Fourth Proportional to 331.12, 455.82 and 261.40

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Solution

The fourth proportional to 331.12, 455.82 and 261.40 is: 359.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.12 : 455.82 = 261.40 : x
  2. Step 2: Convert to fraction form
    331.12/455.82 = 261.40/x
  3. Step 3: Cross multiply
    331.12x = 455.82 × 261.40
  4. Step 4: Simplify right side
    331.12x = 119,151.35
  5. Step 5: Solve for x
    x = 119,151.35/331.12
  6. Step 6: Final answer
    x = 359.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.