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Finding the Fourth Proportional to 202.10, 302.94 and 140.94

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Solution

The fourth proportional to 202.10, 302.94 and 140.94 is: 211.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.10 : 302.94 = 140.94 : x
  2. Step 2: Convert to fraction form
    202.10/302.94 = 140.94/x
  3. Step 3: Cross multiply
    202.10x = 302.94 × 140.94
  4. Step 4: Simplify right side
    202.10x = 42,696.36
  5. Step 5: Solve for x
    x = 42,696.36/202.10
  6. Step 6: Final answer
    x = 211.27

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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.