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Finding the Fourth Proportional to 290.49, 435.12 and 241.65

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Solution

The fourth proportional to 290.49, 435.12 and 241.65 is: 361.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.49 : 435.12 = 241.65 : x
  2. Step 2: Convert to fraction form
    290.49/435.12 = 241.65/x
  3. Step 3: Cross multiply
    290.49x = 435.12 × 241.65
  4. Step 4: Simplify right side
    290.49x = 105,146.75
  5. Step 5: Solve for x
    x = 105,146.75/290.49
  6. Step 6: Final answer
    x = 361.96

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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.