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Finding the Fourth Proportional to 312.96, 431.80 and 202.31

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Solution

The fourth proportional to 312.96, 431.80 and 202.31 is: 279.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.96 : 431.80 = 202.31 : x
  2. Step 2: Convert to fraction form
    312.96/431.80 = 202.31/x
  3. Step 3: Cross multiply
    312.96x = 431.80 × 202.31
  4. Step 4: Simplify right side
    312.96x = 87,357.46
  5. Step 5: Solve for x
    x = 87,357.46/312.96
  6. Step 6: Final answer
    x = 279.13

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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.