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Finding the Fourth Proportional to 282.40, 389.50 and 189.10

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Solution

The fourth proportional to 282.40, 389.50 and 189.10 is: 260.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.40 : 389.50 = 189.10 : x
  2. Step 2: Convert to fraction form
    282.40/389.50 = 189.10/x
  3. Step 3: Cross multiply
    282.40x = 389.50 × 189.10
  4. Step 4: Simplify right side
    282.40x = 73,654.45
  5. Step 5: Solve for x
    x = 73,654.45/282.40
  6. Step 6: Final answer
    x = 260.82

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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.