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Finding the Fourth Proportional to 282.90, 426.54 and 279.84

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Solution

The fourth proportional to 282.90, 426.54 and 279.84 is: 421.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.90 : 426.54 = 279.84 : x
  2. Step 2: Convert to fraction form
    282.90/426.54 = 279.84/x
  3. Step 3: Cross multiply
    282.90x = 426.54 × 279.84
  4. Step 4: Simplify right side
    282.90x = 119,362.95
  5. Step 5: Solve for x
    x = 119,362.95/282.90
  6. Step 6: Final answer
    x = 421.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.