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Finding the Fourth Proportional to 301.11, 415.59 and 251.90

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Solution

The fourth proportional to 301.11, 415.59 and 251.90 is: 347.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.11 : 415.59 = 251.90 : x
  2. Step 2: Convert to fraction form
    301.11/415.59 = 251.90/x
  3. Step 3: Cross multiply
    301.11x = 415.59 × 251.90
  4. Step 4: Simplify right side
    301.11x = 104,687.12
  5. Step 5: Solve for x
    x = 104,687.12/301.11
  6. Step 6: Final answer
    x = 347.67

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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.