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Finding the Fourth Proportional to 249.89, 345.26 and 210.47

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Solution

The fourth proportional to 249.89, 345.26 and 210.47 is: 290.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.89 : 345.26 = 210.47 : x
  2. Step 2: Convert to fraction form
    249.89/345.26 = 210.47/x
  3. Step 3: Cross multiply
    249.89x = 345.26 × 210.47
  4. Step 4: Simplify right side
    249.89x = 72,665.67
  5. Step 5: Solve for x
    x = 72,665.67/249.89
  6. Step 6: Final answer
    x = 290.80

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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.