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Finding the Fourth Proportional to 256.38, 384.44 and 160.26

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Solution

The fourth proportional to 256.38, 384.44 and 160.26 is: 240.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.38 : 384.44 = 160.26 : x
  2. Step 2: Convert to fraction form
    256.38/384.44 = 160.26/x
  3. Step 3: Cross multiply
    256.38x = 384.44 × 160.26
  4. Step 4: Simplify right side
    256.38x = 61,609.55
  5. Step 5: Solve for x
    x = 61,609.55/256.38
  6. Step 6: Final answer
    x = 240.31

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Why These Related Problems?

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