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Finding the Fourth Proportional to 261.06, 357.93 and 256.82

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Solution

The fourth proportional to 261.06, 357.93 and 256.82 is: 352.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.06 : 357.93 = 256.82 : x
  2. Step 2: Convert to fraction form
    261.06/357.93 = 256.82/x
  3. Step 3: Cross multiply
    261.06x = 357.93 × 256.82
  4. Step 4: Simplify right side
    261.06x = 91,922.30
  5. Step 5: Solve for x
    x = 91,922.30/261.06
  6. Step 6: Final answer
    x = 352.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.