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Finding the Fourth Proportional to 253.36, 382.21 and 245.80

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Solution

The fourth proportional to 253.36, 382.21 and 245.80 is: 370.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.36 : 382.21 = 245.80 : x
  2. Step 2: Convert to fraction form
    253.36/382.21 = 245.80/x
  3. Step 3: Cross multiply
    253.36x = 382.21 × 245.80
  4. Step 4: Simplify right side
    253.36x = 93,947.22
  5. Step 5: Solve for x
    x = 93,947.22/253.36
  6. Step 6: Final answer
    x = 370.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.