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Finding the Fourth Proportional to 279.05, 415.94 and 257.18

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Solution

The fourth proportional to 279.05, 415.94 and 257.18 is: 383.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.05 : 415.94 = 257.18 : x
  2. Step 2: Convert to fraction form
    279.05/415.94 = 257.18/x
  3. Step 3: Cross multiply
    279.05x = 415.94 × 257.18
  4. Step 4: Simplify right side
    279.05x = 106,968.08
  5. Step 5: Solve for x
    x = 106,968.08/279.05
  6. Step 6: Final answer
    x = 383.34

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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.