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Finding the Fourth Proportional to 286.40, 429.75 and 270.91

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Solution

The fourth proportional to 286.40, 429.75 and 270.91 is: 406.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.40 : 429.75 = 270.91 : x
  2. Step 2: Convert to fraction form
    286.40/429.75 = 270.91/x
  3. Step 3: Cross multiply
    286.40x = 429.75 × 270.91
  4. Step 4: Simplify right side
    286.40x = 116,423.57
  5. Step 5: Solve for x
    x = 116,423.57/286.40
  6. Step 6: Final answer
    x = 406.51

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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.