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Finding the Fourth Proportional to 194.58, 290.43 and 178.35

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Solution

The fourth proportional to 194.58, 290.43 and 178.35 is: 266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.58 : 290.43 = 178.35 : x
  2. Step 2: Convert to fraction form
    194.58/290.43 = 178.35/x
  3. Step 3: Cross multiply
    194.58x = 290.43 × 178.35
  4. Step 4: Simplify right side
    194.58x = 51,798.19
  5. Step 5: Solve for x
    x = 51,798.19/194.58
  6. Step 6: Final answer
    x = 266.21

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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.