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Finding the Fourth Proportional to 282.36, 389.72 and 189.24

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Solution

The fourth proportional to 282.36, 389.72 and 189.24 is: 261.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.36 : 389.72 = 189.24 : x
  2. Step 2: Convert to fraction form
    282.36/389.72 = 189.24/x
  3. Step 3: Cross multiply
    282.36x = 389.72 × 189.24
  4. Step 4: Simplify right side
    282.36x = 73,750.61
  5. Step 5: Solve for x
    x = 73,750.61/282.36
  6. Step 6: Final answer
    x = 261.19

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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.