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Finding the Fourth Proportional to 215.43, 298.68 and 204.45

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Solution

The fourth proportional to 215.43, 298.68 and 204.45 is: 283.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.43 : 298.68 = 204.45 : x
  2. Step 2: Convert to fraction form
    215.43/298.68 = 204.45/x
  3. Step 3: Cross multiply
    215.43x = 298.68 × 204.45
  4. Step 4: Simplify right side
    215.43x = 61,065.13
  5. Step 5: Solve for x
    x = 61,065.13/215.43
  6. Step 6: Final answer
    x = 283.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.