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Finding the Fourth Proportional to 254.27, 350.91 and 184.30

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Solution

The fourth proportional to 254.27, 350.91 and 184.30 is: 254.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.27 : 350.91 = 184.30 : x
  2. Step 2: Convert to fraction form
    254.27/350.91 = 184.30/x
  3. Step 3: Cross multiply
    254.27x = 350.91 × 184.30
  4. Step 4: Simplify right side
    254.27x = 64,671.84
  5. Step 5: Solve for x
    x = 64,671.84/254.27
  6. Step 6: Final answer
    x = 254.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.