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Finding the Fourth Proportional to 271.16, 404.64 and 240.36

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Solution

The fourth proportional to 271.16, 404.64 and 240.36 is: 358.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.16 : 404.64 = 240.36 : x
  2. Step 2: Convert to fraction form
    271.16/404.64 = 240.36/x
  3. Step 3: Cross multiply
    271.16x = 404.64 × 240.36
  4. Step 4: Simplify right side
    271.16x = 97,259.27
  5. Step 5: Solve for x
    x = 97,259.27/271.16
  6. Step 6: Final answer
    x = 358.68

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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.