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Finding the Fourth Proportional to 236.77, 354.50 and 178.81

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Solution

The fourth proportional to 236.77, 354.50 and 178.81 is: 267.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.77 : 354.50 = 178.81 : x
  2. Step 2: Convert to fraction form
    236.77/354.50 = 178.81/x
  3. Step 3: Cross multiply
    236.77x = 354.50 × 178.81
  4. Step 4: Simplify right side
    236.77x = 63,388.36
  5. Step 5: Solve for x
    x = 63,388.36/236.77
  6. Step 6: Final answer
    x = 267.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.