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Finding the Fourth Proportional to 272.23, 406.16 and 260.26

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Solution

The fourth proportional to 272.23, 406.16 and 260.26 is: 388.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.23 : 406.16 = 260.26 : x
  2. Step 2: Convert to fraction form
    272.23/406.16 = 260.26/x
  3. Step 3: Cross multiply
    272.23x = 406.16 × 260.26
  4. Step 4: Simplify right side
    272.23x = 105,707.20
  5. Step 5: Solve for x
    x = 105,707.20/272.23
  6. Step 6: Final answer
    x = 388.30

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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.