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Finding the Fourth Proportional to 275.35, 380.06 and 157.39

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Solution

The fourth proportional to 275.35, 380.06 and 157.39 is: 217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.35 : 380.06 = 157.39 : x
  2. Step 2: Convert to fraction form
    275.35/380.06 = 157.39/x
  3. Step 3: Cross multiply
    275.35x = 380.06 × 157.39
  4. Step 4: Simplify right side
    275.35x = 59,817.64
  5. Step 5: Solve for x
    x = 59,817.64/275.35
  6. Step 6: Final answer
    x = 217.24

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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.