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Finding the Fourth Proportional to 228.37, 314.79 and 178.49

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Solution

The fourth proportional to 228.37, 314.79 and 178.49 is: 246.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.37 : 314.79 = 178.49 : x
  2. Step 2: Convert to fraction form
    228.37/314.79 = 178.49/x
  3. Step 3: Cross multiply
    228.37x = 314.79 × 178.49
  4. Step 4: Simplify right side
    228.37x = 56,187.43
  5. Step 5: Solve for x
    x = 56,187.43/228.37
  6. Step 6: Final answer
    x = 246.03

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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.