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Finding the Fourth Proportional to 196.40, 293.10 and 188.45

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Solution

The fourth proportional to 196.40, 293.10 and 188.45 is: 281.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.40 : 293.10 = 188.45 : x
  2. Step 2: Convert to fraction form
    196.40/293.10 = 188.45/x
  3. Step 3: Cross multiply
    196.40x = 293.10 × 188.45
  4. Step 4: Simplify right side
    196.40x = 55,234.27
  5. Step 5: Solve for x
    x = 55,234.27/196.40
  6. Step 6: Final answer
    x = 281.24

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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.