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Finding the Fourth Proportional to 203.48, 304.60 and 164.60

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Solution

The fourth proportional to 203.48, 304.60 and 164.60 is: 246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.48 : 304.60 = 164.60 : x
  2. Step 2: Convert to fraction form
    203.48/304.60 = 164.60/x
  3. Step 3: Cross multiply
    203.48x = 304.60 × 164.60
  4. Step 4: Simplify right side
    203.48x = 50,137.16
  5. Step 5: Solve for x
    x = 50,137.16/203.48
  6. Step 6: Final answer
    x = 246.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.