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Finding the Fourth Proportional to 320.94, 443 and 210.58

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Solution

The fourth proportional to 320.94, 443 and 210.58 is: 290.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.94 : 443 = 210.58 : x
  2. Step 2: Convert to fraction form
    320.94/443 = 210.58/x
  3. Step 3: Cross multiply
    320.94x = 443 × 210.58
  4. Step 4: Simplify right side
    320.94x = 93,286.94
  5. Step 5: Solve for x
    x = 93,286.94/320.94
  6. Step 6: Final answer
    x = 290.67

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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.