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Finding the Fourth Proportional to 290.85, 435.80 and 153.69

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Solution

The fourth proportional to 290.85, 435.80 and 153.69 is: 230.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.85 : 435.80 = 153.69 : x
  2. Step 2: Convert to fraction form
    290.85/435.80 = 153.69/x
  3. Step 3: Cross multiply
    290.85x = 435.80 × 153.69
  4. Step 4: Simplify right side
    290.85x = 66,977.33
  5. Step 5: Solve for x
    x = 66,977.33/290.85
  6. Step 6: Final answer
    x = 230.28

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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.