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Finding the Fourth Proportional to 201.02, 277.14 and 159.71

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Solution

The fourth proportional to 201.02, 277.14 and 159.71 is: 220.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.02 : 277.14 = 159.71 : x
  2. Step 2: Convert to fraction form
    201.02/277.14 = 159.71/x
  3. Step 3: Cross multiply
    201.02x = 277.14 × 159.71
  4. Step 4: Simplify right side
    201.02x = 44,262.72
  5. Step 5: Solve for x
    x = 44,262.72/201.02
  6. Step 6: Final answer
    x = 220.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.