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Finding the Fourth Proportional to 272.46, 406.02 and 259.40

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Solution

The fourth proportional to 272.46, 406.02 and 259.40 is: 386.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.46 : 406.02 = 259.40 : x
  2. Step 2: Convert to fraction form
    272.46/406.02 = 259.40/x
  3. Step 3: Cross multiply
    272.46x = 406.02 × 259.40
  4. Step 4: Simplify right side
    272.46x = 105,321.59
  5. Step 5: Solve for x
    x = 105,321.59/272.46
  6. Step 6: Final answer
    x = 386.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.