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Finding the Fourth Proportional to 271.93, 407.39 and 228.87

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Solution

The fourth proportional to 271.93, 407.39 and 228.87 is: 342.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.93 : 407.39 = 228.87 : x
  2. Step 2: Convert to fraction form
    271.93/407.39 = 228.87/x
  3. Step 3: Cross multiply
    271.93x = 407.39 × 228.87
  4. Step 4: Simplify right side
    271.93x = 93,239.35
  5. Step 5: Solve for x
    x = 93,239.35/271.93
  6. Step 6: Final answer
    x = 342.88

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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.