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Finding the Fourth Proportional to 310.05, 427.83 and 177.29

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Solution

The fourth proportional to 310.05, 427.83 and 177.29 is: 244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.05 : 427.83 = 177.29 : x
  2. Step 2: Convert to fraction form
    310.05/427.83 = 177.29/x
  3. Step 3: Cross multiply
    310.05x = 427.83 × 177.29
  4. Step 4: Simplify right side
    310.05x = 75,849.98
  5. Step 5: Solve for x
    x = 75,849.98/310.05
  6. Step 6: Final answer
    x = 244.64

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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.