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Finding the Fourth Proportional to 251.78, 347.13 and 164.42

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Solution

The fourth proportional to 251.78, 347.13 and 164.42 is: 226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.78 : 347.13 = 164.42 : x
  2. Step 2: Convert to fraction form
    251.78/347.13 = 164.42/x
  3. Step 3: Cross multiply
    251.78x = 347.13 × 164.42
  4. Step 4: Simplify right side
    251.78x = 57,075.11
  5. Step 5: Solve for x
    x = 57,075.11/251.78
  6. Step 6: Final answer
    x = 226.69

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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.