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Finding the Fourth Proportional to 160.90, 222.36 and 140.02

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Solution

The fourth proportional to 160.90, 222.36 and 140.02 is: 193.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.90 : 222.36 = 140.02 : x
  2. Step 2: Convert to fraction form
    160.90/222.36 = 140.02/x
  3. Step 3: Cross multiply
    160.90x = 222.36 × 140.02
  4. Step 4: Simplify right side
    160.90x = 31,134.85
  5. Step 5: Solve for x
    x = 31,134.85/160.90
  6. Step 6: Final answer
    x = 193.50

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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.