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Finding the Fourth Proportional to 380.43, 524.07 and 356.94

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Solution

The fourth proportional to 380.43, 524.07 and 356.94 is: 491.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.43 : 524.07 = 356.94 : x
  2. Step 2: Convert to fraction form
    380.43/524.07 = 356.94/x
  3. Step 3: Cross multiply
    380.43x = 524.07 × 356.94
  4. Step 4: Simplify right side
    380.43x = 187,061.55
  5. Step 5: Solve for x
    x = 187,061.55/380.43
  6. Step 6: Final answer
    x = 491.71

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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.