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Finding the Fourth Proportional to 311.02, 465.71 and 194.98

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Solution

The fourth proportional to 311.02, 465.71 and 194.98 is: 291.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.02 : 465.71 = 194.98 : x
  2. Step 2: Convert to fraction form
    311.02/465.71 = 194.98/x
  3. Step 3: Cross multiply
    311.02x = 465.71 × 194.98
  4. Step 4: Simplify right side
    311.02x = 90,804.14
  5. Step 5: Solve for x
    x = 90,804.14/311.02
  6. Step 6: Final answer
    x = 291.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.