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Finding the Fourth Proportional to 282.24, 389.88 and 205.02

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Solution

The fourth proportional to 282.24, 389.88 and 205.02 is: 283.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.24 : 389.88 = 205.02 : x
  2. Step 2: Convert to fraction form
    282.24/389.88 = 205.02/x
  3. Step 3: Cross multiply
    282.24x = 389.88 × 205.02
  4. Step 4: Simplify right side
    282.24x = 79,933.20
  5. Step 5: Solve for x
    x = 79,933.20/282.24
  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.