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Finding the Fourth Proportional to 261.36, 360.76 and 178.54

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Solution

The fourth proportional to 261.36, 360.76 and 178.54 is: 246.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.36 : 360.76 = 178.54 : x
  2. Step 2: Convert to fraction form
    261.36/360.76 = 178.54/x
  3. Step 3: Cross multiply
    261.36x = 360.76 × 178.54
  4. Step 4: Simplify right side
    261.36x = 64,410.09
  5. Step 5: Solve for x
    x = 64,410.09/261.36
  6. Step 6: Final answer
    x = 246.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.