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Finding the Fourth Proportional to 164.00, 226.30 and 90.30

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Solution

The fourth proportional to 164.00, 226.30 and 90.30 is: 124.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.00 : 226.30 = 90.30 : x
  2. Step 2: Convert to fraction form
    164.00/226.30 = 90.30/x
  3. Step 3: Cross multiply
    164.00x = 226.30 × 90.30
  4. Step 4: Simplify right side
    164.00x = 20,433.76
  5. Step 5: Solve for x
    x = 20,433.76/164.00
  6. Step 6: Final answer
    x = 124.60

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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.