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Finding the Fourth Proportional to 282.33, 420.49 and 279.13

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Solution

The fourth proportional to 282.33, 420.49 and 279.13 is: 415.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.33 : 420.49 = 279.13 : x
  2. Step 2: Convert to fraction form
    282.33/420.49 = 279.13/x
  3. Step 3: Cross multiply
    282.33x = 420.49 × 279.13
  4. Step 4: Simplify right side
    282.33x = 117,371.37
  5. Step 5: Solve for x
    x = 117,371.37/282.33
  6. Step 6: Final answer
    x = 415.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.