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Finding the Fourth Proportional to 257.46, 384.31 and 238.42

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Solution

The fourth proportional to 257.46, 384.31 and 238.42 is: 355.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.46 : 384.31 = 238.42 : x
  2. Step 2: Convert to fraction form
    257.46/384.31 = 238.42/x
  3. Step 3: Cross multiply
    257.46x = 384.31 × 238.42
  4. Step 4: Simplify right side
    257.46x = 91,627.19
  5. Step 5: Solve for x
    x = 91,627.19/257.46
  6. Step 6: Final answer
    x = 355.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.