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Finding the Fourth Proportional to 256.36, 384.34 and 126.38

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Solution

The fourth proportional to 256.36, 384.34 and 126.38 is: 189.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.36 : 384.34 = 126.38 : x
  2. Step 2: Convert to fraction form
    256.36/384.34 = 126.38/x
  3. Step 3: Cross multiply
    256.36x = 384.34 × 126.38
  4. Step 4: Simplify right side
    256.36x = 48,572.89
  5. Step 5: Solve for x
    x = 48,572.89/256.36
  6. Step 6: Final answer
    x = 189.47

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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.