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Finding the Fourth Proportional to 354.78, 489.34 and 261.83

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Solution

The fourth proportional to 354.78, 489.34 and 261.83 is: 361.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.78 : 489.34 = 261.83 : x
  2. Step 2: Convert to fraction form
    354.78/489.34 = 261.83/x
  3. Step 3: Cross multiply
    354.78x = 489.34 × 261.83
  4. Step 4: Simplify right side
    354.78x = 128,125.44
  5. Step 5: Solve for x
    x = 128,125.44/354.78
  6. Step 6: Final answer
    x = 361.14

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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.