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Finding the Fourth Proportional to 160.31, 222.35 and 153.83

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Solution

The fourth proportional to 160.31, 222.35 and 153.83 is: 213.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.31 : 222.35 = 153.83 : x
  2. Step 2: Convert to fraction form
    160.31/222.35 = 153.83/x
  3. Step 3: Cross multiply
    160.31x = 222.35 × 153.83
  4. Step 4: Simplify right side
    160.31x = 34,202.22
  5. Step 5: Solve for x
    x = 34,202.22/160.31
  6. Step 6: Final answer
    x = 213.36

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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.