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Finding the Fourth Proportional to 301.65, 415.30 and 254.90

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Solution

The fourth proportional to 301.65, 415.30 and 254.90 is: 350.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.65 : 415.30 = 254.90 : x
  2. Step 2: Convert to fraction form
    301.65/415.30 = 254.90/x
  3. Step 3: Cross multiply
    301.65x = 415.30 × 254.90
  4. Step 4: Simplify right side
    301.65x = 105,859.23
  5. Step 5: Solve for x
    x = 105,859.23/301.65
  6. Step 6: Final answer
    x = 350.94

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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.