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Finding the Fourth Proportional to 290.90, 436.49 and 117.69

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Solution

The fourth proportional to 290.90, 436.49 and 117.69 is: 176.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.90 : 436.49 = 117.69 : x
  2. Step 2: Convert to fraction form
    290.90/436.49 = 117.69/x
  3. Step 3: Cross multiply
    290.90x = 436.49 × 117.69
  4. Step 4: Simplify right side
    290.90x = 51,371.84
  5. Step 5: Solve for x
    x = 51,371.84/290.90
  6. Step 6: Final answer
    x = 176.59

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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.