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Finding the Fourth Proportional to 220.02, 301.80 and 207.60

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Solution

The fourth proportional to 220.02, 301.80 and 207.60 is: 284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.02 : 301.80 = 207.60 : x
  2. Step 2: Convert to fraction form
    220.02/301.80 = 207.60/x
  3. Step 3: Cross multiply
    220.02x = 301.80 × 207.60
  4. Step 4: Simplify right side
    220.02x = 62,653.68
  5. Step 5: Solve for x
    x = 62,653.68/220.02
  6. Step 6: Final answer
    x = 284.76

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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.