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Finding the Fourth Proportional to 201.79, 301.53 and 165.25

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Solution

The fourth proportional to 201.79, 301.53 and 165.25 is: 246.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.79 : 301.53 = 165.25 : x
  2. Step 2: Convert to fraction form
    201.79/301.53 = 165.25/x
  3. Step 3: Cross multiply
    201.79x = 301.53 × 165.25
  4. Step 4: Simplify right side
    201.79x = 49,827.83
  5. Step 5: Solve for x
    x = 49,827.83/201.79
  6. Step 6: Final answer
    x = 246.93

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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.