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Finding the Fourth Proportional to 841.96, 1,262.69 and 278.99

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Solution

The fourth proportional to 841.96, 1,262.69 and 278.99 is: 418.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.96 : 1,262.69 = 278.99 : x
  2. Step 2: Convert to fraction form
    841.96/1,262.69 = 278.99/x
  3. Step 3: Cross multiply
    841.96x = 1,262.69 × 278.99
  4. Step 4: Simplify right side
    841.96x = 352,283.06
  5. Step 5: Solve for x
    x = 352,283.06/841.96
  6. Step 6: Final answer
    x = 418.41

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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.