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Finding the Fourth Proportional to 415.52, 573.24 and 268.10

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Solution

The fourth proportional to 415.52, 573.24 and 268.10 is: 369.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.52 : 573.24 = 268.10 : x
  2. Step 2: Convert to fraction form
    415.52/573.24 = 268.10/x
  3. Step 3: Cross multiply
    415.52x = 573.24 × 268.10
  4. Step 4: Simplify right side
    415.52x = 153,685.64
  5. Step 5: Solve for x
    x = 153,685.64/415.52
  6. Step 6: Final answer
    x = 369.86

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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.