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Finding the Fourth Proportional to 374.43, 516.23 and 274.53

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Solution

The fourth proportional to 374.43, 516.23 and 274.53 is: 378.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.43 : 516.23 = 274.53 : x
  2. Step 2: Convert to fraction form
    374.43/516.23 = 274.53/x
  3. Step 3: Cross multiply
    374.43x = 516.23 × 274.53
  4. Step 4: Simplify right side
    374.43x = 141,719.25
  5. Step 5: Solve for x
    x = 141,719.25/374.43
  6. Step 6: Final answer
    x = 378.49

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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.