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Finding the Fourth Proportional to 378.37, 524.25 and 370.17

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Solution

The fourth proportional to 378.37, 524.25 and 370.17 is: 512.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.37 : 524.25 = 370.17 : x
  2. Step 2: Convert to fraction form
    378.37/524.25 = 370.17/x
  3. Step 3: Cross multiply
    378.37x = 524.25 × 370.17
  4. Step 4: Simplify right side
    378.37x = 194,058.08
  5. Step 5: Solve for x
    x = 194,058.08/378.37
  6. Step 6: Final answer
    x = 512.88

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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.