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Finding the Fourth Proportional to 271.52, 404.64 and 265.12

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Solution

The fourth proportional to 271.52, 404.64 and 265.12 is: 395.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.52 : 404.64 = 265.12 : x
  2. Step 2: Convert to fraction form
    271.52/404.64 = 265.12/x
  3. Step 3: Cross multiply
    271.52x = 404.64 × 265.12
  4. Step 4: Simplify right side
    271.52x = 107,278.16
  5. Step 5: Solve for x
    x = 107,278.16/271.52
  6. Step 6: Final answer
    x = 395.10

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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.