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Finding the Fourth Proportional to 351.80, 485.14 and 257.18

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Solution

The fourth proportional to 351.80, 485.14 and 257.18 is: 354.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.80 : 485.14 = 257.18 : x
  2. Step 2: Convert to fraction form
    351.80/485.14 = 257.18/x
  3. Step 3: Cross multiply
    351.80x = 485.14 × 257.18
  4. Step 4: Simplify right side
    351.80x = 124,768.31
  5. Step 5: Solve for x
    x = 124,768.31/351.80
  6. Step 6: Final answer
    x = 354.66

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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.