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Finding the Fourth Proportional to 271.70, 370.16 and 271.70

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Solution

The fourth proportional to 271.70, 370.16 and 271.70 is: 370.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.70 : 370.16 = 271.70 : x
  2. Step 2: Convert to fraction form
    271.70/370.16 = 271.70/x
  3. Step 3: Cross multiply
    271.70x = 370.16 × 271.70
  4. Step 4: Simplify right side
    271.70x = 100,572.47
  5. Step 5: Solve for x
    x = 100,572.47/271.70
  6. Step 6: Final answer
    x = 370.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.