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Finding the Fourth Proportional to 194.69, 290.76 and 156.23

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Solution

The fourth proportional to 194.69, 290.76 and 156.23 is: 233.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.69 : 290.76 = 156.23 : x
  2. Step 2: Convert to fraction form
    194.69/290.76 = 156.23/x
  3. Step 3: Cross multiply
    194.69x = 290.76 × 156.23
  4. Step 4: Simplify right side
    194.69x = 45,425.43
  5. Step 5: Solve for x
    x = 45,425.43/194.69
  6. Step 6: Final answer
    x = 233.32

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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.