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Finding the Fourth Proportional to 8.60, 13.40 and 8.60

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Solution

The fourth proportional to 8.60, 13.40 and 8.60 is: 13.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.60 : 13.40 = 8.60 : x
  2. Step 2: Convert to fraction form
    8.60/13.40 = 8.60/x
  3. Step 3: Cross multiply
    8.60x = 13.40 × 8.60
  4. Step 4: Simplify right side
    8.60x = 115.24
  5. Step 5: Solve for x
    x = 115.24/8.60
  6. Step 6: Final answer
    x = 13.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.