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Finding the Fourth Proportional to 291.13, 435.85 and 193.73

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Solution

The fourth proportional to 291.13, 435.85 and 193.73 is: 290.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.13 : 435.85 = 193.73 : x
  2. Step 2: Convert to fraction form
    291.13/435.85 = 193.73/x
  3. Step 3: Cross multiply
    291.13x = 435.85 × 193.73
  4. Step 4: Simplify right side
    291.13x = 84,437.22
  5. Step 5: Solve for x
    x = 84,437.22/291.13
  6. Step 6: Final answer
    x = 290.03

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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.