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Finding the Fourth Proportional to 270.20, 372.94 and 159.77

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Solution

The fourth proportional to 270.20, 372.94 and 159.77 is: 220.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.20 : 372.94 = 159.77 : x
  2. Step 2: Convert to fraction form
    270.20/372.94 = 159.77/x
  3. Step 3: Cross multiply
    270.20x = 372.94 × 159.77
  4. Step 4: Simplify right side
    270.20x = 59,585.16
  5. Step 5: Solve for x
    x = 59,585.16/270.20
  6. Step 6: Final answer
    x = 220.52

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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.