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Finding the Fourth Proportional to 282.66, 388.00 and 260.79

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Solution

The fourth proportional to 282.66, 388.00 and 260.79 is: 357.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.66 : 388.00 = 260.79 : x
  2. Step 2: Convert to fraction form
    282.66/388.00 = 260.79/x
  3. Step 3: Cross multiply
    282.66x = 388.00 × 260.79
  4. Step 4: Simplify right side
    282.66x = 101,185.87
  5. Step 5: Solve for x
    x = 101,185.87/282.66
  6. Step 6: Final answer
    x = 357.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.