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Finding the Fourth Proportional to 301.39, 415.92 and 190.93

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Solution

The fourth proportional to 301.39, 415.92 and 190.93 is: 263.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.39 : 415.92 = 190.93 : x
  2. Step 2: Convert to fraction form
    301.39/415.92 = 190.93/x
  3. Step 3: Cross multiply
    301.39x = 415.92 × 190.93
  4. Step 4: Simplify right side
    301.39x = 79,411.61
  5. Step 5: Solve for x
    x = 79,411.61/301.39
  6. Step 6: Final answer
    x = 263.48

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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.