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Finding the Fourth Proportional to 30.98, 46.38 and 20.79

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Solution

The fourth proportional to 30.98, 46.38 and 20.79 is: 31.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.98 : 46.38 = 20.79 : x
  2. Step 2: Convert to fraction form
    30.98/46.38 = 20.79/x
  3. Step 3: Cross multiply
    30.98x = 46.38 × 20.79
  4. Step 4: Simplify right side
    30.98x = 964.24
  5. Step 5: Solve for x
    x = 964.24/30.98
  6. Step 6: Final answer
    x = 31.12

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