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Finding the Fourth Proportional to 382.42, 524.54 and 368.74

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Solution

The fourth proportional to 382.42, 524.54 and 368.74 is: 505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.42 : 524.54 = 368.74 : x
  2. Step 2: Convert to fraction form
    382.42/524.54 = 368.74/x
  3. Step 3: Cross multiply
    382.42x = 524.54 × 368.74
  4. Step 4: Simplify right side
    382.42x = 193,418.88
  5. Step 5: Solve for x
    x = 193,418.88/382.42
  6. Step 6: Final answer
    x = 505.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.