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Finding the Fourth Proportional to 253.53, 349.69 and 206.90

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Solution

The fourth proportional to 253.53, 349.69 and 206.90 is: 285.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.53 : 349.69 = 206.90 : x
  2. Step 2: Convert to fraction form
    253.53/349.69 = 206.90/x
  3. Step 3: Cross multiply
    253.53x = 349.69 × 206.90
  4. Step 4: Simplify right side
    253.53x = 72,350.86
  5. Step 5: Solve for x
    x = 72,350.86/253.53
  6. Step 6: Final answer
    x = 285.37

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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.