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Finding the Fourth Proportional to 282.67, 424.28 and 214.36

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Solution

The fourth proportional to 282.67, 424.28 and 214.36 is: 321.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.67 : 424.28 = 214.36 : x
  2. Step 2: Convert to fraction form
    282.67/424.28 = 214.36/x
  3. Step 3: Cross multiply
    282.67x = 424.28 × 214.36
  4. Step 4: Simplify right side
    282.67x = 90,948.66
  5. Step 5: Solve for x
    x = 90,948.66/282.67
  6. Step 6: Final answer
    x = 321.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.