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Finding the Fourth Proportional to 164.77, 224.40 and 162.85

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Solution

The fourth proportional to 164.77, 224.40 and 162.85 is: 221.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.77 : 224.40 = 162.85 : x
  2. Step 2: Convert to fraction form
    164.77/224.40 = 162.85/x
  3. Step 3: Cross multiply
    164.77x = 224.40 × 162.85
  4. Step 4: Simplify right side
    164.77x = 36,542.32
  5. Step 5: Solve for x
    x = 36,542.32/164.77
  6. Step 6: Final answer
    x = 221.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.