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Finding the Fourth Proportional to 282.15, 423.09 and 257.85

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Solution

The fourth proportional to 282.15, 423.09 and 257.85 is: 386.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.15 : 423.09 = 257.85 : x
  2. Step 2: Convert to fraction form
    282.15/423.09 = 257.85/x
  3. Step 3: Cross multiply
    282.15x = 423.09 × 257.85
  4. Step 4: Simplify right side
    282.15x = 109,093.76
  5. Step 5: Solve for x
    x = 109,093.76/282.15
  6. Step 6: Final answer
    x = 386.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.