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Finding the Fourth Proportional to 282.30, 389.67 and 184.08

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Solution

The fourth proportional to 282.30, 389.67 and 184.08 is: 254.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.30 : 389.67 = 184.08 : x
  2. Step 2: Convert to fraction form
    282.30/389.67 = 184.08/x
  3. Step 3: Cross multiply
    282.30x = 389.67 × 184.08
  4. Step 4: Simplify right side
    282.30x = 71,730.45
  5. Step 5: Solve for x
    x = 71,730.45/282.30
  6. Step 6: Final answer
    x = 254.09

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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.