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Finding the Fourth Proportional to 237.60, 354.80 and 194.36

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Solution

The fourth proportional to 237.60, 354.80 and 194.36 is: 290.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.60 : 354.80 = 194.36 : x
  2. Step 2: Convert to fraction form
    237.60/354.80 = 194.36/x
  3. Step 3: Cross multiply
    237.60x = 354.80 × 194.36
  4. Step 4: Simplify right side
    237.60x = 68,956.18
  5. Step 5: Solve for x
    x = 68,956.18/237.60
  6. Step 6: Final answer
    x = 290.22

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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.