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Finding the Fourth Proportional to 251.03, 346.38 and 146.10

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Solution

The fourth proportional to 251.03, 346.38 and 146.10 is: 201.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.03 : 346.38 = 146.10 : x
  2. Step 2: Convert to fraction form
    251.03/346.38 = 146.10/x
  3. Step 3: Cross multiply
    251.03x = 346.38 × 146.10
  4. Step 4: Simplify right side
    251.03x = 50,606.87
  5. Step 5: Solve for x
    x = 50,606.87/251.03
  6. Step 6: Final answer
    x = 201.59

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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.