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Finding the Fourth Proportional to 286.90, 429.71 and 149.66

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Solution

The fourth proportional to 286.90, 429.71 and 149.66 is: 224.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.90 : 429.71 = 149.66 : x
  2. Step 2: Convert to fraction form
    286.90/429.71 = 149.66/x
  3. Step 3: Cross multiply
    286.90x = 429.71 × 149.66
  4. Step 4: Simplify right side
    286.90x = 64,308.62
  5. Step 5: Solve for x
    x = 64,308.62/286.90
  6. Step 6: Final answer
    x = 224.15

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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.