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Finding the Fourth Proportional to 254.66, 380.14 and 235.18

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Solution

The fourth proportional to 254.66, 380.14 and 235.18 is: 351.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.66 : 380.14 = 235.18 : x
  2. Step 2: Convert to fraction form
    254.66/380.14 = 235.18/x
  3. Step 3: Cross multiply
    254.66x = 380.14 × 235.18
  4. Step 4: Simplify right side
    254.66x = 89,401.33
  5. Step 5: Solve for x
    x = 89,401.33/254.66
  6. Step 6: Final answer
    x = 351.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.