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Finding the Fourth Proportional to 290.96, 436.21 and 117.57

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Solution

The fourth proportional to 290.96, 436.21 and 117.57 is: 176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.96 : 436.21 = 117.57 : x
  2. Step 2: Convert to fraction form
    290.96/436.21 = 117.57/x
  3. Step 3: Cross multiply
    290.96x = 436.21 × 117.57
  4. Step 4: Simplify right side
    290.96x = 51,286.55
  5. Step 5: Solve for x
    x = 51,286.55/290.96
  6. Step 6: Final answer
    x = 176.27

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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.