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Finding the Fourth Proportional to 276.48, 381.49 and 166.01

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Solution

The fourth proportional to 276.48, 381.49 and 166.01 is: 229.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.48 : 381.49 = 166.01 : x
  2. Step 2: Convert to fraction form
    276.48/381.49 = 166.01/x
  3. Step 3: Cross multiply
    276.48x = 381.49 × 166.01
  4. Step 4: Simplify right side
    276.48x = 63,328.83
  5. Step 5: Solve for x
    x = 63,328.83/276.48
  6. Step 6: Final answer
    x = 229.05

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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.