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Finding the Fourth Proportional to 290.77, 436.10 and 105.66

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Solution

The fourth proportional to 290.77, 436.10 and 105.66 is: 158.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.77 : 436.10 = 105.66 : x
  2. Step 2: Convert to fraction form
    290.77/436.10 = 105.66/x
  3. Step 3: Cross multiply
    290.77x = 436.10 × 105.66
  4. Step 4: Simplify right side
    290.77x = 46,078.33
  5. Step 5: Solve for x
    x = 46,078.33/290.77
  6. Step 6: Final answer
    x = 158.47

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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.