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Finding the Fourth Proportional to 271.40, 404.77 and 242.60

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Solution

The fourth proportional to 271.40, 404.77 and 242.60 is: 361.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.40 : 404.77 = 242.60 : x
  2. Step 2: Convert to fraction form
    271.40/404.77 = 242.60/x
  3. Step 3: Cross multiply
    271.40x = 404.77 × 242.60
  4. Step 4: Simplify right side
    271.40x = 98,197.20
  5. Step 5: Solve for x
    x = 98,197.20/271.40
  6. Step 6: Final answer
    x = 361.82

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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.