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Finding the Fourth Proportional to 146.52, 203.60 and 145.04

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Solution

The fourth proportional to 146.52, 203.60 and 145.04 is: 201.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.52 : 203.60 = 145.04 : x
  2. Step 2: Convert to fraction form
    146.52/203.60 = 145.04/x
  3. Step 3: Cross multiply
    146.52x = 203.60 × 145.04
  4. Step 4: Simplify right side
    146.52x = 29,530.14
  5. Step 5: Solve for x
    x = 29,530.14/146.52
  6. Step 6: Final answer
    x = 201.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.