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Finding the Fourth Proportional to 220.48, 302.90 and 197.46

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Solution

The fourth proportional to 220.48, 302.90 and 197.46 is: 271.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.48 : 302.90 = 197.46 : x
  2. Step 2: Convert to fraction form
    220.48/302.90 = 197.46/x
  3. Step 3: Cross multiply
    220.48x = 302.90 × 197.46
  4. Step 4: Simplify right side
    220.48x = 59,810.63
  5. Step 5: Solve for x
    x = 59,810.63/220.48
  6. Step 6: Final answer
    x = 271.27

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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.