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Finding the Fourth Proportional to 164.19, 226.53 and 105.24

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Solution

The fourth proportional to 164.19, 226.53 and 105.24 is: 145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.19 : 226.53 = 105.24 : x
  2. Step 2: Convert to fraction form
    164.19/226.53 = 105.24/x
  3. Step 3: Cross multiply
    164.19x = 226.53 × 105.24
  4. Step 4: Simplify right side
    164.19x = 23,840.02
  5. Step 5: Solve for x
    x = 23,840.02/164.19
  6. Step 6: Final answer
    x = 145.20

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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.