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Finding the Fourth Proportional to 412.36, 617.79 and 258.19

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Solution

The fourth proportional to 412.36, 617.79 and 258.19 is: 386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.36 : 617.79 = 258.19 : x
  2. Step 2: Convert to fraction form
    412.36/617.79 = 258.19/x
  3. Step 3: Cross multiply
    412.36x = 617.79 × 258.19
  4. Step 4: Simplify right side
    412.36x = 159,507.20
  5. Step 5: Solve for x
    x = 159,507.20/412.36
  6. Step 6: Final answer
    x = 386.82

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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.