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Finding the Fourth Proportional to 209.61, 290.68 and 202.93

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Solution

The fourth proportional to 209.61, 290.68 and 202.93 is: 281.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.61 : 290.68 = 202.93 : x
  2. Step 2: Convert to fraction form
    209.61/290.68 = 202.93/x
  3. Step 3: Cross multiply
    209.61x = 290.68 × 202.93
  4. Step 4: Simplify right side
    209.61x = 58,986.46
  5. Step 5: Solve for x
    x = 58,986.46/209.61
  6. Step 6: Final answer
    x = 281.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.