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Finding the Fourth Proportional to 270.05, 372.47 and 228.83

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Solution

The fourth proportional to 270.05, 372.47 and 228.83 is: 315.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.05 : 372.47 = 228.83 : x
  2. Step 2: Convert to fraction form
    270.05/372.47 = 228.83/x
  3. Step 3: Cross multiply
    270.05x = 372.47 × 228.83
  4. Step 4: Simplify right side
    270.05x = 85,231.17
  5. Step 5: Solve for x
    x = 85,231.17/270.05
  6. Step 6: Final answer
    x = 315.61

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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.