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Finding the Fourth Proportional to 282.63, 389.58 and 238.43

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Solution

The fourth proportional to 282.63, 389.58 and 238.43 is: 328.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.63 : 389.58 = 238.43 : x
  2. Step 2: Convert to fraction form
    282.63/389.58 = 238.43/x
  3. Step 3: Cross multiply
    282.63x = 389.58 × 238.43
  4. Step 4: Simplify right side
    282.63x = 92,887.64
  5. Step 5: Solve for x
    x = 92,887.64/282.63
  6. Step 6: Final answer
    x = 328.66

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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.