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Finding the Fourth Proportional to 271.79, 375.03 and 159.75

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Solution

The fourth proportional to 271.79, 375.03 and 159.75 is: 220.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.79 : 375.03 = 159.75 : x
  2. Step 2: Convert to fraction form
    271.79/375.03 = 159.75/x
  3. Step 3: Cross multiply
    271.79x = 375.03 × 159.75
  4. Step 4: Simplify right side
    271.79x = 59,912.11
  5. Step 5: Solve for x
    x = 59,912.11/271.79
  6. Step 6: Final answer
    x = 220.44

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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.