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Finding the Fourth Proportional to 256.95, 383.11 and 252.33

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Solution

The fourth proportional to 256.95, 383.11 and 252.33 is: 376.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.95 : 383.11 = 252.33 : x
  2. Step 2: Convert to fraction form
    256.95/383.11 = 252.33/x
  3. Step 3: Cross multiply
    256.95x = 383.11 × 252.33
  4. Step 4: Simplify right side
    256.95x = 96,668.88
  5. Step 5: Solve for x
    x = 96,668.88/256.95
  6. Step 6: Final answer
    x = 376.22

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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.