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Finding the Fourth Proportional to 412.44, 617 and 258.26

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Solution

The fourth proportional to 412.44, 617 and 258.26 is: 386.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.44 : 617 = 258.26 : x
  2. Step 2: Convert to fraction form
    412.44/617 = 258.26/x
  3. Step 3: Cross multiply
    412.44x = 617 × 258.26
  4. Step 4: Simplify right side
    412.44x = 159,346.42
  5. Step 5: Solve for x
    x = 159,346.42/412.44
  6. Step 6: Final answer
    x = 386.35

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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.