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Finding the Fourth Proportional to 202.00, 302.90 and 92.28

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Solution

The fourth proportional to 202.00, 302.90 and 92.28 is: 138.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.00 : 302.90 = 92.28 : x
  2. Step 2: Convert to fraction form
    202.00/302.90 = 92.28/x
  3. Step 3: Cross multiply
    202.00x = 302.90 × 92.28
  4. Step 4: Simplify right side
    202.00x = 27,950.20
  5. Step 5: Solve for x
    x = 27,950.20/202.00
  6. Step 6: Final answer
    x = 138.37

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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.