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Finding the Fourth Proportional to 275.81, 415.43 and 247.25

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Solution

The fourth proportional to 275.81, 415.43 and 247.25 is: 372.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.81 : 415.43 = 247.25 : x
  2. Step 2: Convert to fraction form
    275.81/415.43 = 247.25/x
  3. Step 3: Cross multiply
    275.81x = 415.43 × 247.25
  4. Step 4: Simplify right side
    275.81x = 102,715.80
  5. Step 5: Solve for x
    x = 102,715.80/275.81
  6. Step 6: Final answer
    x = 372.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.