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Finding the Fourth Proportional to 378.45, 524.45 and 371.16

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Solution

The fourth proportional to 378.45, 524.45 and 371.16 is: 514.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.45 : 524.45 = 371.16 : x
  2. Step 2: Convert to fraction form
    378.45/524.45 = 371.16/x
  3. Step 3: Cross multiply
    378.45x = 524.45 × 371.16
  4. Step 4: Simplify right side
    378.45x = 194,655.79
  5. Step 5: Solve for x
    x = 194,655.79/378.45
  6. Step 6: Final answer
    x = 514.35

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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.