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Finding the Fourth Proportional to 220.40, 302.21 and 212.67

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Solution

The fourth proportional to 220.40, 302.21 and 212.67 is: 291.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.40 : 302.21 = 212.67 : x
  2. Step 2: Convert to fraction form
    220.40/302.21 = 212.67/x
  3. Step 3: Cross multiply
    220.40x = 302.21 × 212.67
  4. Step 4: Simplify right side
    220.40x = 64,271.53
  5. Step 5: Solve for x
    x = 64,271.53/220.40
  6. Step 6: Final answer
    x = 291.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.