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Finding the Fourth Proportional to 272.02, 409.43 and 245.50

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Solution

The fourth proportional to 272.02, 409.43 and 245.50 is: 369.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.02 : 409.43 = 245.50 : x
  2. Step 2: Convert to fraction form
    272.02/409.43 = 245.50/x
  3. Step 3: Cross multiply
    272.02x = 409.43 × 245.50
  4. Step 4: Simplify right side
    272.02x = 100,515.07
  5. Step 5: Solve for x
    x = 100,515.07/272.02
  6. Step 6: Final answer
    x = 369.51

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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.