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Finding the Fourth Proportional to 275.67, 380.34 and 157.63

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Solution

The fourth proportional to 275.67, 380.34 and 157.63 is: 217.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.67 : 380.34 = 157.63 : x
  2. Step 2: Convert to fraction form
    275.67/380.34 = 157.63/x
  3. Step 3: Cross multiply
    275.67x = 380.34 × 157.63
  4. Step 4: Simplify right side
    275.67x = 59,952.99
  5. Step 5: Solve for x
    x = 59,952.99/275.67
  6. Step 6: Final answer
    x = 217.48

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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.