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Finding the Fourth Proportional to 487.96, 732.04 and 163.35

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Solution

The fourth proportional to 487.96, 732.04 and 163.35 is: 245.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.96 : 732.04 = 163.35 : x
  2. Step 2: Convert to fraction form
    487.96/732.04 = 163.35/x
  3. Step 3: Cross multiply
    487.96x = 732.04 × 163.35
  4. Step 4: Simplify right side
    487.96x = 119,578.33
  5. Step 5: Solve for x
    x = 119,578.33/487.96
  6. Step 6: Final answer
    x = 245.06

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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.