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Finding the Fourth Proportional to 508.03, 761.81 and 161.30

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Solution

The fourth proportional to 508.03, 761.81 and 161.30 is: 241.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.03 : 761.81 = 161.30 : x
  2. Step 2: Convert to fraction form
    508.03/761.81 = 161.30/x
  3. Step 3: Cross multiply
    508.03x = 761.81 × 161.30
  4. Step 4: Simplify right side
    508.03x = 122,875.94
  5. Step 5: Solve for x
    x = 122,875.94/508.03
  6. Step 6: Final answer
    x = 241.87

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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.