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Finding the Fourth Proportional to 46.56, 64.26 and 30.19

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Solution

The fourth proportional to 46.56, 64.26 and 30.19 is: 41.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.56 : 64.26 = 30.19 : x
  2. Step 2: Convert to fraction form
    46.56/64.26 = 30.19/x
  3. Step 3: Cross multiply
    46.56x = 64.26 × 30.19
  4. Step 4: Simplify right side
    46.56x = 1,940.01
  5. Step 5: Solve for x
    x = 1,940.01/46.56
  6. Step 6: Final answer
    x = 41.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.