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Finding the Fourth Proportional to 271.32, 407.20 and 206.52

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Solution

The fourth proportional to 271.32, 407.20 and 206.52 is: 309.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.32 : 407.20 = 206.52 : x
  2. Step 2: Convert to fraction form
    271.32/407.20 = 206.52/x
  3. Step 3: Cross multiply
    271.32x = 407.20 × 206.52
  4. Step 4: Simplify right side
    271.32x = 84,094.94
  5. Step 5: Solve for x
    x = 84,094.94/271.32
  6. Step 6: Final answer
    x = 309.95

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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.