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Finding the Fourth Proportional to 164.06, 245.73 and 142.29

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Solution

The fourth proportional to 164.06, 245.73 and 142.29 is: 213.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.06 : 245.73 = 142.29 : x
  2. Step 2: Convert to fraction form
    164.06/245.73 = 142.29/x
  3. Step 3: Cross multiply
    164.06x = 245.73 × 142.29
  4. Step 4: Simplify right side
    164.06x = 34,965.46
  5. Step 5: Solve for x
    x = 34,965.46/164.06
  6. Step 6: Final answer
    x = 213.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.