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Finding the Fourth Proportional to 203.64, 304.34 and 164.71

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Solution

The fourth proportional to 203.64, 304.34 and 164.71 is: 246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.64 : 304.34 = 164.71 : x
  2. Step 2: Convert to fraction form
    203.64/304.34 = 164.71/x
  3. Step 3: Cross multiply
    203.64x = 304.34 × 164.71
  4. Step 4: Simplify right side
    203.64x = 50,127.84
  5. Step 5: Solve for x
    x = 50,127.84/203.64
  6. Step 6: Final answer
    x = 246.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.