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Finding the Fourth Proportional to 492.08, 678.27 and 326.23

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Solution

The fourth proportional to 492.08, 678.27 and 326.23 is: 449.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.08 : 678.27 = 326.23 : x
  2. Step 2: Convert to fraction form
    492.08/678.27 = 326.23/x
  3. Step 3: Cross multiply
    492.08x = 678.27 × 326.23
  4. Step 4: Simplify right side
    492.08x = 221,271.55
  5. Step 5: Solve for x
    x = 221,271.55/492.08
  6. Step 6: Final answer
    x = 449.67

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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.