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Finding the Fourth Proportional to 203.96, 304.64 and 174.93

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Solution

The fourth proportional to 203.96, 304.64 and 174.93 is: 261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.96 : 304.64 = 174.93 : x
  2. Step 2: Convert to fraction form
    203.96/304.64 = 174.93/x
  3. Step 3: Cross multiply
    203.96x = 304.64 × 174.93
  4. Step 4: Simplify right side
    203.96x = 53,289.80
  5. Step 5: Solve for x
    x = 53,289.80/203.96
  6. Step 6: Final answer
    x = 261.28

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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.