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Finding the Fourth Proportional to 275.43, 380.07 and 157.40

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Solution

The fourth proportional to 275.43, 380.07 and 157.40 is: 217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.43 : 380.07 = 157.40 : x
  2. Step 2: Convert to fraction form
    275.43/380.07 = 157.40/x
  3. Step 3: Cross multiply
    275.43x = 380.07 × 157.40
  4. Step 4: Simplify right side
    275.43x = 59,823.02
  5. Step 5: Solve for x
    x = 59,823.02/275.43
  6. Step 6: Final answer
    x = 217.20

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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.