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Finding the Fourth Proportional to 251.40, 346.62 and 164.07

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Solution

The fourth proportional to 251.40, 346.62 and 164.07 is: 226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.40 : 346.62 = 164.07 : x
  2. Step 2: Convert to fraction form
    251.40/346.62 = 164.07/x
  3. Step 3: Cross multiply
    251.40x = 346.62 × 164.07
  4. Step 4: Simplify right side
    251.40x = 56,869.94
  5. Step 5: Solve for x
    x = 56,869.94/251.40
  6. Step 6: Final answer
    x = 226.21

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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.