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Finding the Fourth Proportional to 256.14, 384.20 and 178.88

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Solution

The fourth proportional to 256.14, 384.20 and 178.88 is: 268.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.14 : 384.20 = 178.88 : x
  2. Step 2: Convert to fraction form
    256.14/384.20 = 178.88/x
  3. Step 3: Cross multiply
    256.14x = 384.20 × 178.88
  4. Step 4: Simplify right side
    256.14x = 68,723.55
  5. Step 5: Solve for x
    x = 68,723.55/256.14
  6. Step 6: Final answer
    x = 268.30

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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.