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Finding the Fourth Proportional to 4.27, 6.40 and 1.60

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Solution

The fourth proportional to 4.27, 6.40 and 1.60 is: 2.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.27 : 6.40 = 1.60 : x
  2. Step 2: Convert to fraction form
    4.27/6.40 = 1.60/x
  3. Step 3: Cross multiply
    4.27x = 6.40 × 1.60
  4. Step 4: Simplify right side
    4.27x = 10.22
  5. Step 5: Solve for x
    x = 10.22/4.27
  6. Step 6: Final answer
    x = 2.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.