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Finding the Fourth Proportional to 221.45, 330.53 and 190.47

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Solution

The fourth proportional to 221.45, 330.53 and 190.47 is: 284.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.45 : 330.53 = 190.47 : x
  2. Step 2: Convert to fraction form
    221.45/330.53 = 190.47/x
  3. Step 3: Cross multiply
    221.45x = 330.53 × 190.47
  4. Step 4: Simplify right side
    221.45x = 62,955.81
  5. Step 5: Solve for x
    x = 62,955.81/221.45
  6. Step 6: Final answer
    x = 284.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.