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Finding the Fourth Proportional to 201.07, 301.08 and 139.93

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Solution

The fourth proportional to 201.07, 301.08 and 139.93 is: 209.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.07 : 301.08 = 139.93 : x
  2. Step 2: Convert to fraction form
    201.07/301.08 = 139.93/x
  3. Step 3: Cross multiply
    201.07x = 301.08 × 139.93
  4. Step 4: Simplify right side
    201.07x = 42,130.12
  5. Step 5: Solve for x
    x = 42,130.12/201.07
  6. Step 6: Final answer
    x = 209.53

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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.