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Finding the Fourth Proportional to 257.11, 385.47 and 133.58

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Solution

The fourth proportional to 257.11, 385.47 and 133.58 is: 200.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.11 : 385.47 = 133.58 : x
  2. Step 2: Convert to fraction form
    257.11/385.47 = 133.58/x
  3. Step 3: Cross multiply
    257.11x = 385.47 × 133.58
  4. Step 4: Simplify right side
    257.11x = 51,492.05
  5. Step 5: Solve for x
    x = 51,492.05/257.11
  6. Step 6: Final answer
    x = 200.27

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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.