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Finding the Fourth Proportional to 261.94, 395.88 and 257.46

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Solution

The fourth proportional to 261.94, 395.88 and 257.46 is: 389.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.94 : 395.88 = 257.46 : x
  2. Step 2: Convert to fraction form
    261.94/395.88 = 257.46/x
  3. Step 3: Cross multiply
    261.94x = 395.88 × 257.46
  4. Step 4: Simplify right side
    261.94x = 101,923.26
  5. Step 5: Solve for x
    x = 101,923.26/261.94
  6. Step 6: Final answer
    x = 389.11

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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.