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Finding the Fourth Proportional to 282.78, 425.61 and 214.65

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Solution

The fourth proportional to 282.78, 425.61 and 214.65 is: 323.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.78 : 425.61 = 214.65 : x
  2. Step 2: Convert to fraction form
    282.78/425.61 = 214.65/x
  3. Step 3: Cross multiply
    282.78x = 425.61 × 214.65
  4. Step 4: Simplify right side
    282.78x = 91,357.19
  5. Step 5: Solve for x
    x = 91,357.19/282.78
  6. Step 6: Final answer
    x = 323.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.