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Finding the Fourth Proportional to 591.05, 886.70 and 201.08

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Solution

The fourth proportional to 591.05, 886.70 and 201.08 is: 301.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.05 : 886.70 = 201.08 : x
  2. Step 2: Convert to fraction form
    591.05/886.70 = 201.08/x
  3. Step 3: Cross multiply
    591.05x = 886.70 × 201.08
  4. Step 4: Simplify right side
    591.05x = 178,299.22
  5. Step 5: Solve for x
    x = 178,299.22/591.05
  6. Step 6: Final answer
    x = 301.67

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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.