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Finding the Fourth Proportional to 309.34, 463.89 and 163.05

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Solution

The fourth proportional to 309.34, 463.89 and 163.05 is: 244.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.34 : 463.89 = 163.05 : x
  2. Step 2: Convert to fraction form
    309.34/463.89 = 163.05/x
  3. Step 3: Cross multiply
    309.34x = 463.89 × 163.05
  4. Step 4: Simplify right side
    309.34x = 75,637.26
  5. Step 5: Solve for x
    x = 75,637.26/309.34
  6. Step 6: Final answer
    x = 244.51

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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.