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Finding the Fourth Proportional to 270.02, 406.41 and 243.50

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Solution

The fourth proportional to 270.02, 406.41 and 243.50 is: 366.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.02 : 406.41 = 243.50 : x
  2. Step 2: Convert to fraction form
    270.02/406.41 = 243.50/x
  3. Step 3: Cross multiply
    270.02x = 406.41 × 243.50
  4. Step 4: Simplify right side
    270.02x = 98,960.84
  5. Step 5: Solve for x
    x = 98,960.84/270.02
  6. Step 6: Final answer
    x = 366.49

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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.