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Finding the Fourth Proportional to 256.44, 384.81 and 94.14

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Solution

The fourth proportional to 256.44, 384.81 and 94.14 is: 141.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.44 : 384.81 = 94.14 : x
  2. Step 2: Convert to fraction form
    256.44/384.81 = 94.14/x
  3. Step 3: Cross multiply
    256.44x = 384.81 × 94.14
  4. Step 4: Simplify right side
    256.44x = 36,226.01
  5. Step 5: Solve for x
    x = 36,226.01/256.44
  6. Step 6: Final answer
    x = 141.27

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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.