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Finding the Fourth Proportional to 351.84, 486.22 and 289.58

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Solution

The fourth proportional to 351.84, 486.22 and 289.58 is: 400.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.84 : 486.22 = 289.58 : x
  2. Step 2: Convert to fraction form
    351.84/486.22 = 289.58/x
  3. Step 3: Cross multiply
    351.84x = 486.22 × 289.58
  4. Step 4: Simplify right side
    351.84x = 140,799.59
  5. Step 5: Solve for x
    x = 140,799.59/351.84
  6. Step 6: Final answer
    x = 400.18

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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.