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Finding the Fourth Proportional to 282.79, 421.91 and 273.98

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Solution

The fourth proportional to 282.79, 421.91 and 273.98 is: 408.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.79 : 421.91 = 273.98 : x
  2. Step 2: Convert to fraction form
    282.79/421.91 = 273.98/x
  3. Step 3: Cross multiply
    282.79x = 421.91 × 273.98
  4. Step 4: Simplify right side
    282.79x = 115,595.61
  5. Step 5: Solve for x
    x = 115,595.61/282.79
  6. Step 6: Final answer
    x = 408.77

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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.