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Finding the Fourth Proportional to 290.81, 436.35 and 181.10

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Solution

The fourth proportional to 290.81, 436.35 and 181.10 is: 271.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.81 : 436.35 = 181.10 : x
  2. Step 2: Convert to fraction form
    290.81/436.35 = 181.10/x
  3. Step 3: Cross multiply
    290.81x = 436.35 × 181.10
  4. Step 4: Simplify right side
    290.81x = 79,020.80
  5. Step 5: Solve for x
    x = 79,020.80/290.81
  6. Step 6: Final answer
    x = 271.73

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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.