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Finding the Fourth Proportional to 282.49, 420.39 and 279.45

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Solution

The fourth proportional to 282.49, 420.39 and 279.45 is: 415.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.49 : 420.39 = 279.45 : x
  2. Step 2: Convert to fraction form
    282.49/420.39 = 279.45/x
  3. Step 3: Cross multiply
    282.49x = 420.39 × 279.45
  4. Step 4: Simplify right side
    282.49x = 117,477.99
  5. Step 5: Solve for x
    x = 117,477.99/282.49
  6. Step 6: Final answer
    x = 415.87

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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.