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Finding the Fourth Proportional to 301.94, 415.77 and 258.18

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Solution

The fourth proportional to 301.94, 415.77 and 258.18 is: 355.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.94 : 415.77 = 258.18 : x
  2. Step 2: Convert to fraction form
    301.94/415.77 = 258.18/x
  3. Step 3: Cross multiply
    301.94x = 415.77 × 258.18
  4. Step 4: Simplify right side
    301.94x = 107,343.50
  5. Step 5: Solve for x
    x = 107,343.50/301.94
  6. Step 6: Final answer
    x = 355.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.