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Finding the Fourth Proportional to 202.59, 302.41 and 187.56

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Solution

The fourth proportional to 202.59, 302.41 and 187.56 is: 279.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.59 : 302.41 = 187.56 : x
  2. Step 2: Convert to fraction form
    202.59/302.41 = 187.56/x
  3. Step 3: Cross multiply
    202.59x = 302.41 × 187.56
  4. Step 4: Simplify right side
    202.59x = 56,717.57
  5. Step 5: Solve for x
    x = 56,717.57/202.59
  6. Step 6: Final answer
    x = 279.97

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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.