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Finding the Fourth Proportional to 415.73, 573.51 and 268.31

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Solution

The fourth proportional to 415.73, 573.51 and 268.31 is: 370.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.73 : 573.51 = 268.31 : x
  2. Step 2: Convert to fraction form
    415.73/573.51 = 268.31/x
  3. Step 3: Cross multiply
    415.73x = 573.51 × 268.31
  4. Step 4: Simplify right side
    415.73x = 153,880.91
  5. Step 5: Solve for x
    x = 153,880.91/415.73
  6. Step 6: Final answer
    x = 370.14

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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.