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Finding the Fourth Proportional to 378.45, 524.73 and 373.86

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Solution

The fourth proportional to 378.45, 524.73 and 373.86 is: 518.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.45 : 524.73 = 373.86 : x
  2. Step 2: Convert to fraction form
    378.45/524.73 = 373.86/x
  3. Step 3: Cross multiply
    378.45x = 524.73 × 373.86
  4. Step 4: Simplify right side
    378.45x = 196,175.56
  5. Step 5: Solve for x
    x = 196,175.56/378.45
  6. Step 6: Final answer
    x = 518.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.