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Finding the Fourth Proportional to 327.22, 488.30 and 292.62

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Solution

The fourth proportional to 327.22, 488.30 and 292.62 is: 436.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.22 : 488.30 = 292.62 : x
  2. Step 2: Convert to fraction form
    327.22/488.30 = 292.62/x
  3. Step 3: Cross multiply
    327.22x = 488.30 × 292.62
  4. Step 4: Simplify right side
    327.22x = 142,886.35
  5. Step 5: Solve for x
    x = 142,886.35/327.22
  6. Step 6: Final answer
    x = 436.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.