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Finding the Fourth Proportional to 290.75, 436.14 and 95.66

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Solution

The fourth proportional to 290.75, 436.14 and 95.66 is: 143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.75 : 436.14 = 95.66 : x
  2. Step 2: Convert to fraction form
    290.75/436.14 = 95.66/x
  3. Step 3: Cross multiply
    290.75x = 436.14 × 95.66
  4. Step 4: Simplify right side
    290.75x = 41,720.67
  5. Step 5: Solve for x
    x = 41,720.67/290.75
  6. Step 6: Final answer
    x = 143.50

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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.