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Finding the Fourth Proportional to 253.13, 348.71 and 197.78

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Solution

The fourth proportional to 253.13, 348.71 and 197.78 is: 272.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.13 : 348.71 = 197.78 : x
  2. Step 2: Convert to fraction form
    253.13/348.71 = 197.78/x
  3. Step 3: Cross multiply
    253.13x = 348.71 × 197.78
  4. Step 4: Simplify right side
    253.13x = 68,965.13
  5. Step 5: Solve for x
    x = 68,965.13/253.13
  6. Step 6: Final answer
    x = 272.45

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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.