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Finding the Fourth Proportional to 290.69, 436.15 and 153.83

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Solution

The fourth proportional to 290.69, 436.15 and 153.83 is: 230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.69 : 436.15 = 153.83 : x
  2. Step 2: Convert to fraction form
    290.69/436.15 = 153.83/x
  3. Step 3: Cross multiply
    290.69x = 436.15 × 153.83
  4. Step 4: Simplify right side
    290.69x = 67,092.95
  5. Step 5: Solve for x
    x = 67,092.95/290.69
  6. Step 6: Final answer
    x = 230.81

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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.