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Finding the Fourth Proportional to 508.05, 762.15 and 161.31

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Solution

The fourth proportional to 508.05, 762.15 and 161.31 is: 241.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.05 : 762.15 = 161.31 : x
  2. Step 2: Convert to fraction form
    508.05/762.15 = 161.31/x
  3. Step 3: Cross multiply
    508.05x = 762.15 × 161.31
  4. Step 4: Simplify right side
    508.05x = 122,942.42
  5. Step 5: Solve for x
    x = 122,942.42/508.05
  6. Step 6: Final answer
    x = 241.99

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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.