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Finding the Fourth Proportional to 254.02, 380.50 and 192.96

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Solution

The fourth proportional to 254.02, 380.50 and 192.96 is: 289.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.02 : 380.50 = 192.96 : x
  2. Step 2: Convert to fraction form
    254.02/380.50 = 192.96/x
  3. Step 3: Cross multiply
    254.02x = 380.50 × 192.96
  4. Step 4: Simplify right side
    254.02x = 73,421.28
  5. Step 5: Solve for x
    x = 73,421.28/254.02
  6. Step 6: Final answer
    x = 289.04

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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.