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Finding the Fourth Proportional to 254.79, 382.06 and 124.68

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Solution

The fourth proportional to 254.79, 382.06 and 124.68 is: 186.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.79 : 382.06 = 124.68 : x
  2. Step 2: Convert to fraction form
    254.79/382.06 = 124.68/x
  3. Step 3: Cross multiply
    254.79x = 382.06 × 124.68
  4. Step 4: Simplify right side
    254.79x = 47,635.24
  5. Step 5: Solve for x
    x = 47,635.24/254.79
  6. Step 6: Final answer
    x = 186.96

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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.