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Finding the Fourth Proportional to 228.30, 314.87 and 181.61

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Solution

The fourth proportional to 228.30, 314.87 and 181.61 is: 250.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.30 : 314.87 = 181.61 : x
  2. Step 2: Convert to fraction form
    228.30/314.87 = 181.61/x
  3. Step 3: Cross multiply
    228.30x = 314.87 × 181.61
  4. Step 4: Simplify right side
    228.30x = 57,181.06
  5. Step 5: Solve for x
    x = 57,181.06/228.30
  6. Step 6: Final answer
    x = 250.46

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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.