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Finding the Fourth Proportional to 254.77, 351.58 and 138.33

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Solution

The fourth proportional to 254.77, 351.58 and 138.33 is: 190.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.77 : 351.58 = 138.33 : x
  2. Step 2: Convert to fraction form
    254.77/351.58 = 138.33/x
  3. Step 3: Cross multiply
    254.77x = 351.58 × 138.33
  4. Step 4: Simplify right side
    254.77x = 48,633.72
  5. Step 5: Solve for x
    x = 48,633.72/254.77
  6. Step 6: Final answer
    x = 190.89

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