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Finding the Fourth Proportional to 229.40, 342.48 and 194.80

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Solution

The fourth proportional to 229.40, 342.48 and 194.80 is: 290.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.40 : 342.48 = 194.80 : x
  2. Step 2: Convert to fraction form
    229.40/342.48 = 194.80/x
  3. Step 3: Cross multiply
    229.40x = 342.48 × 194.80
  4. Step 4: Simplify right side
    229.40x = 66,715.10
  5. Step 5: Solve for x
    x = 66,715.10/229.40
  6. Step 6: Final answer
    x = 290.82

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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.