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Finding the Fourth Proportional to 420.78, 631.22 and 160.97

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Solution

The fourth proportional to 420.78, 631.22 and 160.97 is: 241.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.78 : 631.22 = 160.97 : x
  2. Step 2: Convert to fraction form
    420.78/631.22 = 160.97/x
  3. Step 3: Cross multiply
    420.78x = 631.22 × 160.97
  4. Step 4: Simplify right side
    420.78x = 101,603.52
  5. Step 5: Solve for x
    x = 101,603.52/420.78
  6. Step 6: Final answer
    x = 241.46

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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.