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Finding the Fourth Proportional to 228.40, 340.62 and 194.38

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Solution

The fourth proportional to 228.40, 340.62 and 194.38 is: 289.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.40 : 340.62 = 194.38 : x
  2. Step 2: Convert to fraction form
    228.40/340.62 = 194.38/x
  3. Step 3: Cross multiply
    228.40x = 340.62 × 194.38
  4. Step 4: Simplify right side
    228.40x = 66,209.72
  5. Step 5: Solve for x
    x = 66,209.72/228.40
  6. Step 6: Final answer
    x = 289.88

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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.