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Finding the Fourth Proportional to 279.64, 419.37 and 176.56

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Solution

The fourth proportional to 279.64, 419.37 and 176.56 is: 264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.64 : 419.37 = 176.56 : x
  2. Step 2: Convert to fraction form
    279.64/419.37 = 176.56/x
  3. Step 3: Cross multiply
    279.64x = 419.37 × 176.56
  4. Step 4: Simplify right side
    279.64x = 74,043.97
  5. Step 5: Solve for x
    x = 74,043.97/279.64
  6. Step 6: Final answer
    x = 264.78

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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.