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Finding the Fourth Proportional to 291.44, 436.73 and 188.66

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Solution

The fourth proportional to 291.44, 436.73 and 188.66 is: 282.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.44 : 436.73 = 188.66 : x
  2. Step 2: Convert to fraction form
    291.44/436.73 = 188.66/x
  3. Step 3: Cross multiply
    291.44x = 436.73 × 188.66
  4. Step 4: Simplify right side
    291.44x = 82,390.35
  5. Step 5: Solve for x
    x = 82,390.35/291.44
  6. Step 6: Final answer
    x = 282.71

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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.