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Finding the Fourth Proportional to 282.07, 421.23 and 279.02

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Solution

The fourth proportional to 282.07, 421.23 and 279.02 is: 416.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.07 : 421.23 = 279.02 : x
  2. Step 2: Convert to fraction form
    282.07/421.23 = 279.02/x
  3. Step 3: Cross multiply
    282.07x = 421.23 × 279.02
  4. Step 4: Simplify right side
    282.07x = 117,529.85
  5. Step 5: Solve for x
    x = 117,529.85/282.07
  6. Step 6: Final answer
    x = 416.67

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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.