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Finding the Fourth Proportional to 282.80, 390.36 and 195.76

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Solution

The fourth proportional to 282.80, 390.36 and 195.76 is: 270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.80 : 390.36 = 195.76 : x
  2. Step 2: Convert to fraction form
    282.80/390.36 = 195.76/x
  3. Step 3: Cross multiply
    282.80x = 390.36 × 195.76
  4. Step 4: Simplify right side
    282.80x = 76,416.87
  5. Step 5: Solve for x
    x = 76,416.87/282.80
  6. Step 6: Final answer
    x = 270.22

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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.