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Finding the Fourth Proportional to 312.72, 431.76 and 202.44

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Solution

The fourth proportional to 312.72, 431.76 and 202.44 is: 279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.72 : 431.76 = 202.44 : x
  2. Step 2: Convert to fraction form
    312.72/431.76 = 202.44/x
  3. Step 3: Cross multiply
    312.72x = 431.76 × 202.44
  4. Step 4: Simplify right side
    312.72x = 87,405.49
  5. Step 5: Solve for x
    x = 87,405.49/312.72
  6. Step 6: Final answer
    x = 279.50

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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.