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Finding the Fourth Proportional to 372.56, 513.80 and 274.56

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Solution

The fourth proportional to 372.56, 513.80 and 274.56 is: 378.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.56 : 513.80 = 274.56 : x
  2. Step 2: Convert to fraction form
    372.56/513.80 = 274.56/x
  3. Step 3: Cross multiply
    372.56x = 513.80 × 274.56
  4. Step 4: Simplify right side
    372.56x = 141,068.93
  5. Step 5: Solve for x
    x = 141,068.93/372.56
  6. Step 6: Final answer
    x = 378.65

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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.