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Finding the Fourth Proportional to 231.31, 346.56 and 202.15

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Solution

The fourth proportional to 231.31, 346.56 and 202.15 is: 302.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.31 : 346.56 = 202.15 : x
  2. Step 2: Convert to fraction form
    231.31/346.56 = 202.15/x
  3. Step 3: Cross multiply
    231.31x = 346.56 × 202.15
  4. Step 4: Simplify right side
    231.31x = 70,057.10
  5. Step 5: Solve for x
    x = 70,057.10/231.31
  6. Step 6: Final answer
    x = 302.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.