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Finding the Fourth Proportional to 290.84, 401.68 and 197.42

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Solution

The fourth proportional to 290.84, 401.68 and 197.42 is: 272.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.84 : 401.68 = 197.42 : x
  2. Step 2: Convert to fraction form
    290.84/401.68 = 197.42/x
  3. Step 3: Cross multiply
    290.84x = 401.68 × 197.42
  4. Step 4: Simplify right side
    290.84x = 79,300.67
  5. Step 5: Solve for x
    x = 79,300.67/290.84
  6. Step 6: Final answer
    x = 272.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.