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Finding the Fourth Proportional to 268.58, 405.17 and 260.39

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Solution

The fourth proportional to 268.58, 405.17 and 260.39 is: 392.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.58 : 405.17 = 260.39 : x
  2. Step 2: Convert to fraction form
    268.58/405.17 = 260.39/x
  3. Step 3: Cross multiply
    268.58x = 405.17 × 260.39
  4. Step 4: Simplify right side
    268.58x = 105,502.22
  5. Step 5: Solve for x
    x = 105,502.22/268.58
  6. Step 6: Final answer
    x = 392.81

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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.