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Finding the Fourth Proportional to 194.02, 290.75 and 145.96

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Solution

The fourth proportional to 194.02, 290.75 and 145.96 is: 218.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.02 : 290.75 = 145.96 : x
  2. Step 2: Convert to fraction form
    194.02/290.75 = 145.96/x
  3. Step 3: Cross multiply
    194.02x = 290.75 × 145.96
  4. Step 4: Simplify right side
    194.02x = 42,436.41
  5. Step 5: Solve for x
    x = 42,436.41/194.02
  6. Step 6: Final answer
    x = 218.72

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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.