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Finding the Fourth Proportional to 254.09, 380.25 and 156.55

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Solution

The fourth proportional to 254.09, 380.25 and 156.55 is: 234.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.09 : 380.25 = 156.55 : x
  2. Step 2: Convert to fraction form
    254.09/380.25 = 156.55/x
  3. Step 3: Cross multiply
    254.09x = 380.25 × 156.55
  4. Step 4: Simplify right side
    254.09x = 59,527.19
  5. Step 5: Solve for x
    x = 59,527.19/254.09
  6. Step 6: Final answer
    x = 234.28

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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.