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Finding the Fourth Proportional to 350.78, 483.93 and 210.89

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Solution

The fourth proportional to 350.78, 483.93 and 210.89 is: 290.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.78 : 483.93 = 210.89 : x
  2. Step 2: Convert to fraction form
    350.78/483.93 = 210.89/x
  3. Step 3: Cross multiply
    350.78x = 483.93 × 210.89
  4. Step 4: Simplify right side
    350.78x = 102,053.58
  5. Step 5: Solve for x
    x = 102,053.58/350.78
  6. Step 6: Final answer
    x = 290.94

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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.