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Finding the Fourth Proportional to 331.05, 456.86 and 183.69

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Solution

The fourth proportional to 331.05, 456.86 and 183.69 is: 253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.05 : 456.86 = 183.69 : x
  2. Step 2: Convert to fraction form
    331.05/456.86 = 183.69/x
  3. Step 3: Cross multiply
    331.05x = 456.86 × 183.69
  4. Step 4: Simplify right side
    331.05x = 83,921.32
  5. Step 5: Solve for x
    x = 83,921.32/331.05
  6. Step 6: Final answer
    x = 253.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.