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Finding the Fourth Proportional to 272.74, 406.91 and 260.72

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Solution

The fourth proportional to 272.74, 406.91 and 260.72 is: 388.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.74 : 406.91 = 260.72 : x
  2. Step 2: Convert to fraction form
    272.74/406.91 = 260.72/x
  3. Step 3: Cross multiply
    272.74x = 406.91 × 260.72
  4. Step 4: Simplify right side
    272.74x = 106,089.58
  5. Step 5: Solve for x
    x = 106,089.58/272.74
  6. Step 6: Final answer
    x = 388.98

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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.