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Finding the Fourth Proportional to 286.40, 429.30 and 221.18

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Solution

The fourth proportional to 286.40, 429.30 and 221.18 is: 331.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.40 : 429.30 = 221.18 : x
  2. Step 2: Convert to fraction form
    286.40/429.30 = 221.18/x
  3. Step 3: Cross multiply
    286.40x = 429.30 × 221.18
  4. Step 4: Simplify right side
    286.40x = 94,952.57
  5. Step 5: Solve for x
    x = 94,952.57/286.40
  6. Step 6: Final answer
    x = 331.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.