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Finding the Fourth Proportional to 202.37, 302.10 and 194.27

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Solution

The fourth proportional to 202.37, 302.10 and 194.27 is: 290.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.37 : 302.10 = 194.27 : x
  2. Step 2: Convert to fraction form
    202.37/302.10 = 194.27/x
  3. Step 3: Cross multiply
    202.37x = 302.10 × 194.27
  4. Step 4: Simplify right side
    202.37x = 58,688.97
  5. Step 5: Solve for x
    x = 58,688.97/202.37
  6. Step 6: Final answer
    x = 290.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.