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Finding the Fourth Proportional to 256.89, 384.42 and 164.42

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Solution

The fourth proportional to 256.89, 384.42 and 164.42 is: 246.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.89 : 384.42 = 164.42 : x
  2. Step 2: Convert to fraction form
    256.89/384.42 = 164.42/x
  3. Step 3: Cross multiply
    256.89x = 384.42 × 164.42
  4. Step 4: Simplify right side
    256.89x = 63,206.34
  5. Step 5: Solve for x
    x = 63,206.34/256.89
  6. Step 6: Final answer
    x = 246.04

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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.