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Finding the Fourth Proportional to 257.94, 385.01 and 236.29

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Solution

The fourth proportional to 257.94, 385.01 and 236.29 is: 352.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.94 : 385.01 = 236.29 : x
  2. Step 2: Convert to fraction form
    257.94/385.01 = 236.29/x
  3. Step 3: Cross multiply
    257.94x = 385.01 × 236.29
  4. Step 4: Simplify right side
    257.94x = 90,974.01
  5. Step 5: Solve for x
    x = 90,974.01/257.94
  6. Step 6: Final answer
    x = 352.69

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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.