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Finding the Fourth Proportional to 164.57, 246.49 and 142.90

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Solution

The fourth proportional to 164.57, 246.49 and 142.90 is: 214.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.57 : 246.49 = 142.90 : x
  2. Step 2: Convert to fraction form
    164.57/246.49 = 142.90/x
  3. Step 3: Cross multiply
    164.57x = 246.49 × 142.90
  4. Step 4: Simplify right side
    164.57x = 35,222.45
  5. Step 5: Solve for x
    x = 35,222.45/164.57
  6. Step 6: Final answer
    x = 214.03

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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.