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Finding the Fourth Proportional to 250.21, 345.65 and 206.53

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Solution

The fourth proportional to 250.21, 345.65 and 206.53 is: 285.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.21 : 345.65 = 206.53 : x
  2. Step 2: Convert to fraction form
    250.21/345.65 = 206.53/x
  3. Step 3: Cross multiply
    250.21x = 345.65 × 206.53
  4. Step 4: Simplify right side
    250.21x = 71,387.09
  5. Step 5: Solve for x
    x = 71,387.09/250.21
  6. Step 6: Final answer
    x = 285.31

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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.