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Finding the Fourth Proportional to 286.87, 430.71 and 273.82

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Solution

The fourth proportional to 286.87, 430.71 and 273.82 is: 411.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.87 : 430.71 = 273.82 : x
  2. Step 2: Convert to fraction form
    286.87/430.71 = 273.82/x
  3. Step 3: Cross multiply
    286.87x = 430.71 × 273.82
  4. Step 4: Simplify right side
    286.87x = 117,937.01
  5. Step 5: Solve for x
    x = 117,937.01/286.87
  6. Step 6: Final answer
    x = 411.12

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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.