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Finding the Fourth Proportional to 282.76, 421.99 and 252

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Solution

The fourth proportional to 282.76, 421.99 and 252 is: 376.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.76 : 421.99 = 252 : x
  2. Step 2: Convert to fraction form
    282.76/421.99 = 252/x
  3. Step 3: Cross multiply
    282.76x = 421.99 × 252
  4. Step 4: Simplify right side
    282.76x = 106,340.85
  5. Step 5: Solve for x
    x = 106,340.85/282.76
  6. Step 6: Final answer
    x = 376.08

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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.