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Finding the Fourth Proportional to 271.36, 404.72 and 261.76

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Solution

The fourth proportional to 271.36, 404.72 and 261.76 is: 390.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.36 : 404.72 = 261.76 : x
  2. Step 2: Convert to fraction form
    271.36/404.72 = 261.76/x
  3. Step 3: Cross multiply
    271.36x = 404.72 × 261.76
  4. Step 4: Simplify right side
    271.36x = 105,939.51
  5. Step 5: Solve for x
    x = 105,939.51/271.36
  6. Step 6: Final answer
    x = 390.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.