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Finding the Fourth Proportional to 164.61, 224.01 and 163.80

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Solution

The fourth proportional to 164.61, 224.01 and 163.80 is: 222.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.61 : 224.01 = 163.80 : x
  2. Step 2: Convert to fraction form
    164.61/224.01 = 163.80/x
  3. Step 3: Cross multiply
    164.61x = 224.01 × 163.80
  4. Step 4: Simplify right side
    164.61x = 36,692.84
  5. Step 5: Solve for x
    x = 36,692.84/164.61
  6. Step 6: Final answer
    x = 222.91

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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.