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Finding the Fourth Proportional to 282.14, 421.16 and 243.86

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Solution

The fourth proportional to 282.14, 421.16 and 243.86 is: 364.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.14 : 421.16 = 243.86 : x
  2. Step 2: Convert to fraction form
    282.14/421.16 = 243.86/x
  3. Step 3: Cross multiply
    282.14x = 421.16 × 243.86
  4. Step 4: Simplify right side
    282.14x = 102,704.83
  5. Step 5: Solve for x
    x = 102,704.83/282.14
  6. Step 6: Final answer
    x = 364.03

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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.