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Finding the Fourth Proportional to 265.98, 367.11 and 178.56

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Solution

The fourth proportional to 265.98, 367.11 and 178.56 is: 246.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.98 : 367.11 = 178.56 : x
  2. Step 2: Convert to fraction form
    265.98/367.11 = 178.56/x
  3. Step 3: Cross multiply
    265.98x = 367.11 × 178.56
  4. Step 4: Simplify right side
    265.98x = 65,551.16
  5. Step 5: Solve for x
    x = 65,551.16/265.98
  6. Step 6: Final answer
    x = 246.45

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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.