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Finding the Fourth Proportional to 383.41, 528.71 and 252.25

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Solution

The fourth proportional to 383.41, 528.71 and 252.25 is: 347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.41 : 528.71 = 252.25 : x
  2. Step 2: Convert to fraction form
    383.41/528.71 = 252.25/x
  3. Step 3: Cross multiply
    383.41x = 528.71 × 252.25
  4. Step 4: Simplify right side
    383.41x = 133,365.84
  5. Step 5: Solve for x
    x = 133,365.84/383.41
  6. Step 6: Final answer
    x = 347.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.