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Finding the Fourth Proportional to 357.80, 493.69 and 210.33

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Solution

The fourth proportional to 357.80, 493.69 and 210.33 is: 290.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.80 : 493.69 = 210.33 : x
  2. Step 2: Convert to fraction form
    357.80/493.69 = 210.33/x
  3. Step 3: Cross multiply
    357.80x = 493.69 × 210.33
  4. Step 4: Simplify right side
    357.80x = 103,837.82
  5. Step 5: Solve for x
    x = 103,837.82/357.80
  6. Step 6: Final answer
    x = 290.21

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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.