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Finding the Fourth Proportional to 256.09, 383.25 and 158.55

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Solution

The fourth proportional to 256.09, 383.25 and 158.55 is: 237.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.09 : 383.25 = 158.55 : x
  2. Step 2: Convert to fraction form
    256.09/383.25 = 158.55/x
  3. Step 3: Cross multiply
    256.09x = 383.25 × 158.55
  4. Step 4: Simplify right side
    256.09x = 60,764.29
  5. Step 5: Solve for x
    x = 60,764.29/256.09
  6. Step 6: Final answer
    x = 237.28

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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.