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Finding the Fourth Proportional to 351.65, 485.30 and 258.44

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Solution

The fourth proportional to 351.65, 485.30 and 258.44 is: 356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.65 : 485.30 = 258.44 : x
  2. Step 2: Convert to fraction form
    351.65/485.30 = 258.44/x
  3. Step 3: Cross multiply
    351.65x = 485.30 × 258.44
  4. Step 4: Simplify right side
    351.65x = 125,418.51
  5. Step 5: Solve for x
    x = 125,418.51/351.65
  6. Step 6: Final answer
    x = 356.66

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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.