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Finding the Fourth Proportional to 383.09, 528.17 and 251.87

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Solution

The fourth proportional to 383.09, 528.17 and 251.87 is: 347.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.09 : 528.17 = 251.87 : x
  2. Step 2: Convert to fraction form
    383.09/528.17 = 251.87/x
  3. Step 3: Cross multiply
    383.09x = 528.17 × 251.87
  4. Step 4: Simplify right side
    383.09x = 133,026.28
  5. Step 5: Solve for x
    x = 133,026.28/383.09
  6. Step 6: Final answer
    x = 347.25

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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.