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Finding the Fourth Proportional to 312.69, 431.38 and 202.23

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Solution

The fourth proportional to 312.69, 431.38 and 202.23 is: 278.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.69 : 431.38 = 202.23 : x
  2. Step 2: Convert to fraction form
    312.69/431.38 = 202.23/x
  3. Step 3: Cross multiply
    312.69x = 431.38 × 202.23
  4. Step 4: Simplify right side
    312.69x = 87,237.98
  5. Step 5: Solve for x
    x = 87,237.98/312.69
  6. Step 6: Final answer
    x = 278.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.