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Finding the Fourth Proportional to 415.45, 572.89 and 267.82

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Solution

The fourth proportional to 415.45, 572.89 and 267.82 is: 369.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.45 : 572.89 = 267.82 : x
  2. Step 2: Convert to fraction form
    415.45/572.89 = 267.82/x
  3. Step 3: Cross multiply
    415.45x = 572.89 × 267.82
  4. Step 4: Simplify right side
    415.45x = 153,431.40
  5. Step 5: Solve for x
    x = 153,431.40/415.45
  6. Step 6: Final answer
    x = 369.31

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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.