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Finding the Fourth Proportional to 253.75, 380.93 and 166.81

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Solution

The fourth proportional to 253.75, 380.93 and 166.81 is: 250.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.75 : 380.93 = 166.81 : x
  2. Step 2: Convert to fraction form
    253.75/380.93 = 166.81/x
  3. Step 3: Cross multiply
    253.75x = 380.93 × 166.81
  4. Step 4: Simplify right side
    253.75x = 63,541.03
  5. Step 5: Solve for x
    x = 63,541.03/253.75
  6. Step 6: Final answer
    x = 250.41

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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.