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Finding the Fourth Proportional to 312.52, 431.14 and 202.03

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Solution

The fourth proportional to 312.52, 431.14 and 202.03 is: 278.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.52 : 431.14 = 202.03 : x
  2. Step 2: Convert to fraction form
    312.52/431.14 = 202.03/x
  3. Step 3: Cross multiply
    312.52x = 431.14 × 202.03
  4. Step 4: Simplify right side
    312.52x = 87,102.98
  5. Step 5: Solve for x
    x = 87,102.98/312.52
  6. Step 6: Final answer
    x = 278.71

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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.