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Finding the Fourth Proportional to 253.24, 348.90 and 197.32

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Solution

The fourth proportional to 253.24, 348.90 and 197.32 is: 271.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.24 : 348.90 = 197.32 : x
  2. Step 2: Convert to fraction form
    253.24/348.90 = 197.32/x
  3. Step 3: Cross multiply
    253.24x = 348.90 × 197.32
  4. Step 4: Simplify right side
    253.24x = 68,844.95
  5. Step 5: Solve for x
    x = 68,844.95/253.24
  6. Step 6: Final answer
    x = 271.86

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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.