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Finding the Fourth Proportional to 283.56, 390.54 and 261.96

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Solution

The fourth proportional to 283.56, 390.54 and 261.96 is: 360.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.56 : 390.54 = 261.96 : x
  2. Step 2: Convert to fraction form
    283.56/390.54 = 261.96/x
  3. Step 3: Cross multiply
    283.56x = 390.54 × 261.96
  4. Step 4: Simplify right side
    283.56x = 102,305.86
  5. Step 5: Solve for x
    x = 102,305.86/283.56
  6. Step 6: Final answer
    x = 360.79

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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.