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Finding the Fourth Proportional to 279.98, 416.82 and 278.63

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Solution

The fourth proportional to 279.98, 416.82 and 278.63 is: 414.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.98 : 416.82 = 278.63 : x
  2. Step 2: Convert to fraction form
    279.98/416.82 = 278.63/x
  3. Step 3: Cross multiply
    279.98x = 416.82 × 278.63
  4. Step 4: Simplify right side
    279.98x = 116,136.47
  5. Step 5: Solve for x
    x = 116,136.47/279.98
  6. Step 6: Final answer
    x = 414.81

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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.