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Finding the Fourth Proportional to 249.68, 344.21 and 210.50

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Solution

The fourth proportional to 249.68, 344.21 and 210.50 is: 290.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.68 : 344.21 = 210.50 : x
  2. Step 2: Convert to fraction form
    249.68/344.21 = 210.50/x
  3. Step 3: Cross multiply
    249.68x = 344.21 × 210.50
  4. Step 4: Simplify right side
    249.68x = 72,455.01
  5. Step 5: Solve for x
    x = 72,455.01/249.68
  6. Step 6: Final answer
    x = 290.19

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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.