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Finding the Fourth Proportional to 253.26, 349.52 and 209.52

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Solution

The fourth proportional to 253.26, 349.52 and 209.52 is: 289.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.26 : 349.52 = 209.52 : x
  2. Step 2: Convert to fraction form
    253.26/349.52 = 209.52/x
  3. Step 3: Cross multiply
    253.26x = 349.52 × 209.52
  4. Step 4: Simplify right side
    253.26x = 73,230.38
  5. Step 5: Solve for x
    x = 73,230.38/253.26
  6. Step 6: Final answer
    x = 289.15

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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.