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Finding the Fourth Proportional to 160.94, 223.26 and 152.74

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Solution

The fourth proportional to 160.94, 223.26 and 152.74 is: 211.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.94 : 223.26 = 152.74 : x
  2. Step 2: Convert to fraction form
    160.94/223.26 = 152.74/x
  3. Step 3: Cross multiply
    160.94x = 223.26 × 152.74
  4. Step 4: Simplify right side
    160.94x = 34,100.73
  5. Step 5: Solve for x
    x = 34,100.73/160.94
  6. Step 6: Final answer
    x = 211.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.