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Finding the Fourth Proportional to 220.82, 302.55 and 212.63

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Solution

The fourth proportional to 220.82, 302.55 and 212.63 is: 291.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.82 : 302.55 = 212.63 : x
  2. Step 2: Convert to fraction form
    220.82/302.55 = 212.63/x
  3. Step 3: Cross multiply
    220.82x = 302.55 × 212.63
  4. Step 4: Simplify right side
    220.82x = 64,330.14
  5. Step 5: Solve for x
    x = 64,330.14/220.82
  6. Step 6: Final answer
    x = 291.32

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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.