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Finding the Fourth Proportional to 212.96, 292.64 and 203.31

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Solution

The fourth proportional to 212.96, 292.64 and 203.31 is: 279.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.96 : 292.64 = 203.31 : x
  2. Step 2: Convert to fraction form
    212.96/292.64 = 203.31/x
  3. Step 3: Cross multiply
    212.96x = 292.64 × 203.31
  4. Step 4: Simplify right side
    212.96x = 59,495.62
  5. Step 5: Solve for x
    x = 59,495.62/212.96
  6. Step 6: Final answer
    x = 279.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.