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Finding the Fourth Proportional to 256.38, 384.38 and 94.06

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Solution

The fourth proportional to 256.38, 384.38 and 94.06 is: 141.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.38 : 384.38 = 94.06 : x
  2. Step 2: Convert to fraction form
    256.38/384.38 = 94.06/x
  3. Step 3: Cross multiply
    256.38x = 384.38 × 94.06
  4. Step 4: Simplify right side
    256.38x = 36,154.31
  5. Step 5: Solve for x
    x = 36,154.31/256.38
  6. Step 6: Final answer
    x = 141.02

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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.