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Finding the Fourth Proportional to 309.64, 464.28 and 163.58

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Solution

The fourth proportional to 309.64, 464.28 and 163.58 is: 245.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.64 : 464.28 = 163.58 : x
  2. Step 2: Convert to fraction form
    309.64/464.28 = 163.58/x
  3. Step 3: Cross multiply
    309.64x = 464.28 × 163.58
  4. Step 4: Simplify right side
    309.64x = 75,946.92
  5. Step 5: Solve for x
    x = 75,946.92/309.64
  6. Step 6: Final answer
    x = 245.27

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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.