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Finding the Fourth Proportional to 420.92, 631.51 and 160.91

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Solution

The fourth proportional to 420.92, 631.51 and 160.91 is: 241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.92 : 631.51 = 160.91 : x
  2. Step 2: Convert to fraction form
    420.92/631.51 = 160.91/x
  3. Step 3: Cross multiply
    420.92x = 631.51 × 160.91
  4. Step 4: Simplify right side
    420.92x = 101,616.27
  5. Step 5: Solve for x
    x = 101,616.27/420.92
  6. Step 6: Final answer
    x = 241.41

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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.