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Finding the Fourth Proportional to 424.09, 584.72 and 274.47

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Solution

The fourth proportional to 424.09, 584.72 and 274.47 is: 378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.09 : 584.72 = 274.47 : x
  2. Step 2: Convert to fraction form
    424.09/584.72 = 274.47/x
  3. Step 3: Cross multiply
    424.09x = 584.72 × 274.47
  4. Step 4: Simplify right side
    424.09x = 160,485.56
  5. Step 5: Solve for x
    x = 160,485.56/424.09
  6. Step 6: Final answer
    x = 378.42

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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.