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Finding the Fourth Proportional to 279.82, 421.98 and 278.00

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Solution

The fourth proportional to 279.82, 421.98 and 278.00 is: 419.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.82 : 421.98 = 278.00 : x
  2. Step 2: Convert to fraction form
    279.82/421.98 = 278.00/x
  3. Step 3: Cross multiply
    279.82x = 421.98 × 278.00
  4. Step 4: Simplify right side
    279.82x = 117,308.87
  5. Step 5: Solve for x
    x = 117,308.87/279.82
  6. Step 6: Final answer
    x = 419.23

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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.