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Finding the Fourth Proportional to 193.98, 291.20 and 193.10

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Solution

The fourth proportional to 193.98, 291.20 and 193.10 is: 289.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.98 : 291.20 = 193.10 : x
  2. Step 2: Convert to fraction form
    193.98/291.20 = 193.10/x
  3. Step 3: Cross multiply
    193.98x = 291.20 × 193.10
  4. Step 4: Simplify right side
    193.98x = 56,230.72
  5. Step 5: Solve for x
    x = 56,230.72/193.98
  6. Step 6: Final answer
    x = 289.88

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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.