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Finding the Fourth Proportional to 194.40, 290.39 and 153.70

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Solution

The fourth proportional to 194.40, 290.39 and 153.70 is: 229.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.40 : 290.39 = 153.70 : x
  2. Step 2: Convert to fraction form
    194.40/290.39 = 153.70/x
  3. Step 3: Cross multiply
    194.40x = 290.39 × 153.70
  4. Step 4: Simplify right side
    194.40x = 44,631.45
  5. Step 5: Solve for x
    x = 44,631.45/194.40
  6. Step 6: Final answer
    x = 229.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.