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Finding the Fourth Proportional to 251.00, 346.38 and 146.08

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Solution

The fourth proportional to 251.00, 346.38 and 146.08 is: 201.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.00 : 346.38 = 146.08 : x
  2. Step 2: Convert to fraction form
    251.00/346.38 = 146.08/x
  3. Step 3: Cross multiply
    251.00x = 346.38 × 146.08
  4. Step 4: Simplify right side
    251.00x = 50,598.32
  5. Step 5: Solve for x
    x = 50,598.32/251.00
  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.