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Finding the Fourth Proportional to 46.61, 64.28 and 30.22

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Solution

The fourth proportional to 46.61, 64.28 and 30.22 is: 41.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.61 : 64.28 = 30.22 : x
  2. Step 2: Convert to fraction form
    46.61/64.28 = 30.22/x
  3. Step 3: Cross multiply
    46.61x = 64.28 × 30.22
  4. Step 4: Simplify right side
    46.61x = 1,942.07
  5. Step 5: Solve for x
    x = 1,942.07/46.61
  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.