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Finding the Fourth Proportional to 272.97, 406.49 and 258.98

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Solution

The fourth proportional to 272.97, 406.49 and 258.98 is: 385.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.97 : 406.49 = 258.98 : x
  2. Step 2: Convert to fraction form
    272.97/406.49 = 258.98/x
  3. Step 3: Cross multiply
    272.97x = 406.49 × 258.98
  4. Step 4: Simplify right side
    272.97x = 105,269.45
  5. Step 5: Solve for x
    x = 105,269.45/272.97
  6. Step 6: Final answer
    x = 385.64

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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.