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Finding the Fourth Proportional to 403.92, 606.09 and 160.45

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Solution

The fourth proportional to 403.92, 606.09 and 160.45 is: 240.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.92 : 606.09 = 160.45 : x
  2. Step 2: Convert to fraction form
    403.92/606.09 = 160.45/x
  3. Step 3: Cross multiply
    403.92x = 606.09 × 160.45
  4. Step 4: Simplify right side
    403.92x = 97,244.11
  5. Step 5: Solve for x
    x = 97,244.11/403.92
  6. Step 6: Final answer
    x = 240.75

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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.