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Finding the Fourth Proportional to 279.40, 419.78 and 245.23

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Solution

The fourth proportional to 279.40, 419.78 and 245.23 is: 368.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.40 : 419.78 = 245.23 : x
  2. Step 2: Convert to fraction form
    279.40/419.78 = 245.23/x
  3. Step 3: Cross multiply
    279.40x = 419.78 × 245.23
  4. Step 4: Simplify right side
    279.40x = 102,942.21
  5. Step 5: Solve for x
    x = 102,942.21/279.40
  6. Step 6: Final answer
    x = 368.44

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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.