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Finding the Fourth Proportional to 282.32, 389.40 and 193.76

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Solution

The fourth proportional to 282.32, 389.40 and 193.76 is: 267.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.32 : 389.40 = 193.76 : x
  2. Step 2: Convert to fraction form
    282.32/389.40 = 193.76/x
  3. Step 3: Cross multiply
    282.32x = 389.40 × 193.76
  4. Step 4: Simplify right side
    282.32x = 75,450.14
  5. Step 5: Solve for x
    x = 75,450.14/282.32
  6. Step 6: Final answer
    x = 267.25

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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.