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Finding the Fourth Proportional to 254.02, 380.95 and 161.41

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Solution

The fourth proportional to 254.02, 380.95 and 161.41 is: 242.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.02 : 380.95 = 161.41 : x
  2. Step 2: Convert to fraction form
    254.02/380.95 = 161.41/x
  3. Step 3: Cross multiply
    254.02x = 380.95 × 161.41
  4. Step 4: Simplify right side
    254.02x = 61,489.14
  5. Step 5: Solve for x
    x = 61,489.14/254.02
  6. Step 6: Final answer
    x = 242.06

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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.