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Finding the Fourth Proportional to 282.63, 389.43 and 217.02

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Solution

The fourth proportional to 282.63, 389.43 and 217.02 is: 299.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.63 : 389.43 = 217.02 : x
  2. Step 2: Convert to fraction form
    282.63/389.43 = 217.02/x
  3. Step 3: Cross multiply
    282.63x = 389.43 × 217.02
  4. Step 4: Simplify right side
    282.63x = 84,514.10
  5. Step 5: Solve for x
    x = 84,514.10/282.63
  6. Step 6: Final answer
    x = 299.03

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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.