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Finding the Fourth Proportional to 383.64, 529.43 and 236.42

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Solution

The fourth proportional to 383.64, 529.43 and 236.42 is: 326.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.64 : 529.43 = 236.42 : x
  2. Step 2: Convert to fraction form
    383.64/529.43 = 236.42/x
  3. Step 3: Cross multiply
    383.64x = 529.43 × 236.42
  4. Step 4: Simplify right side
    383.64x = 125,164.01
  5. Step 5: Solve for x
    x = 125,164.01/383.64
  6. Step 6: Final answer
    x = 326.25

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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.