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Finding the Fourth Proportional to 220.40, 303.72 and 205.52

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Solution

The fourth proportional to 220.40, 303.72 and 205.52 is: 283.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.40 : 303.72 = 205.52 : x
  2. Step 2: Convert to fraction form
    220.40/303.72 = 205.52/x
  3. Step 3: Cross multiply
    220.40x = 303.72 × 205.52
  4. Step 4: Simplify right side
    220.40x = 62,420.53
  5. Step 5: Solve for x
    x = 62,420.53/220.40
  6. Step 6: Final answer
    x = 283.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.