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Finding the Fourth Proportional to 257.58, 387.18 and 238.14

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Solution

The fourth proportional to 257.58, 387.18 and 238.14 is: 357.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.58 : 387.18 = 238.14 : x
  2. Step 2: Convert to fraction form
    257.58/387.18 = 238.14/x
  3. Step 3: Cross multiply
    257.58x = 387.18 × 238.14
  4. Step 4: Simplify right side
    257.58x = 92,203.05
  5. Step 5: Solve for x
    x = 92,203.05/257.58
  6. Step 6: Final answer
    x = 357.96

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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.