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Finding the Fourth Proportional to 11.60, 16.60 and 11.60

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Solution

The fourth proportional to 11.60, 16.60 and 11.60 is: 16.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.60 : 16.60 = 11.60 : x
  2. Step 2: Convert to fraction form
    11.60/16.60 = 11.60/x
  3. Step 3: Cross multiply
    11.60x = 16.60 × 11.60
  4. Step 4: Simplify right side
    11.60x = 192.50
  5. Step 5: Solve for x
    x = 192.50/11.60
  6. Step 6: Final answer
    x = 16.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.