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Finding the Fourth Proportional to 160.50, 222.83 and 156.04

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Solution

The fourth proportional to 160.50, 222.83 and 156.04 is: 216.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.50 : 222.83 = 156.04 : x
  2. Step 2: Convert to fraction form
    160.50/222.83 = 156.04/x
  3. Step 3: Cross multiply
    160.50x = 222.83 × 156.04
  4. Step 4: Simplify right side
    160.50x = 34,770.39
  5. Step 5: Solve for x
    x = 34,770.39/160.50
  6. Step 6: Final answer
    x = 216.64

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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.