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Finding the Fourth Proportional to 380.02, 524.43 and 205.37

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Solution

The fourth proportional to 380.02, 524.43 and 205.37 is: 283.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.02 : 524.43 = 205.37 : x
  2. Step 2: Convert to fraction form
    380.02/524.43 = 205.37/x
  3. Step 3: Cross multiply
    380.02x = 524.43 × 205.37
  4. Step 4: Simplify right side
    380.02x = 107,701.39
  5. Step 5: Solve for x
    x = 107,701.39/380.02
  6. Step 6: Final answer
    x = 283.41

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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.