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Finding the Fourth Proportional to 507.44, 761.16 and 160.78

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Solution

The fourth proportional to 507.44, 761.16 and 160.78 is: 241.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.44 : 761.16 = 160.78 : x
  2. Step 2: Convert to fraction form
    507.44/761.16 = 160.78/x
  3. Step 3: Cross multiply
    507.44x = 761.16 × 160.78
  4. Step 4: Simplify right side
    507.44x = 122,379.30
  5. Step 5: Solve for x
    x = 122,379.30/507.44
  6. Step 6: Final answer
    x = 241.17

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Similar ratio
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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.