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Finding the Fourth Proportional to 254.28, 382.06 and 146.16

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Solution

The fourth proportional to 254.28, 382.06 and 146.16 is: 219.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.28 : 382.06 = 146.16 : x
  2. Step 2: Convert to fraction form
    254.28/382.06 = 146.16/x
  3. Step 3: Cross multiply
    254.28x = 382.06 × 146.16
  4. Step 4: Simplify right side
    254.28x = 55,841.89
  5. Step 5: Solve for x
    x = 55,841.89/254.28
  6. Step 6: Final answer
    x = 219.61

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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.