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Finding the Fourth Proportional to 253.40, 349.52 and 198.32

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Solution

The fourth proportional to 253.40, 349.52 and 198.32 is: 273.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.40 : 349.52 = 198.32 : x
  2. Step 2: Convert to fraction form
    253.40/349.52 = 198.32/x
  3. Step 3: Cross multiply
    253.40x = 349.52 × 198.32
  4. Step 4: Simplify right side
    253.40x = 69,314.07
  5. Step 5: Solve for x
    x = 69,314.07/253.40
  6. Step 6: Final answer
    x = 273.54

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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.