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Finding the Fourth Proportional to 282.80, 420.86 and 279.92

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Solution

The fourth proportional to 282.80, 420.86 and 279.92 is: 416.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.80 : 420.86 = 279.92 : x
  2. Step 2: Convert to fraction form
    282.80/420.86 = 279.92/x
  3. Step 3: Cross multiply
    282.80x = 420.86 × 279.92
  4. Step 4: Simplify right side
    282.80x = 117,807.13
  5. Step 5: Solve for x
    x = 117,807.13/282.80
  6. Step 6: Final answer
    x = 416.57

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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.