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Finding the Fourth Proportional to 357.85, 493.86 and 210.43

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Solution

The fourth proportional to 357.85, 493.86 and 210.43 is: 290.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.85 : 493.86 = 210.43 : x
  2. Step 2: Convert to fraction form
    357.85/493.86 = 210.43/x
  3. Step 3: Cross multiply
    357.85x = 493.86 × 210.43
  4. Step 4: Simplify right side
    357.85x = 103,922.96
  5. Step 5: Solve for x
    x = 103,922.96/357.85
  6. Step 6: Final answer
    x = 290.41

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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.