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Finding the Fourth Proportional to 253.92, 380.56 and 157.76

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Solution

The fourth proportional to 253.92, 380.56 and 157.76 is: 236.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.92 : 380.56 = 157.76 : x
  2. Step 2: Convert to fraction form
    253.92/380.56 = 157.76/x
  3. Step 3: Cross multiply
    253.92x = 380.56 × 157.76
  4. Step 4: Simplify right side
    253.92x = 60,037.15
  5. Step 5: Solve for x
    x = 60,037.15/253.92
  6. Step 6: Final answer
    x = 236.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.