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Finding the Fourth Proportional to 286.20, 429.64 and 149.24

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Solution

The fourth proportional to 286.20, 429.64 and 149.24 is: 224.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.20 : 429.64 = 149.24 : x
  2. Step 2: Convert to fraction form
    286.20/429.64 = 149.24/x
  3. Step 3: Cross multiply
    286.20x = 429.64 × 149.24
  4. Step 4: Simplify right side
    286.20x = 64,120.17
  5. Step 5: Solve for x
    x = 64,120.17/286.20
  6. Step 6: Final answer
    x = 224.04

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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.