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Finding the Fourth Proportional to 261.36, 355.94 and 258.34

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Solution

The fourth proportional to 261.36, 355.94 and 258.34 is: 351.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.36 : 355.94 = 258.34 : x
  2. Step 2: Convert to fraction form
    261.36/355.94 = 258.34/x
  3. Step 3: Cross multiply
    261.36x = 355.94 × 258.34
  4. Step 4: Simplify right side
    261.36x = 91,953.54
  5. Step 5: Solve for x
    x = 91,953.54/261.36
  6. Step 6: Final answer
    x = 351.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.