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Finding the Fourth Proportional to 10.26, 15.37 and 10.02

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Solution

The fourth proportional to 10.26, 15.37 and 10.02 is: 15.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.26 : 15.37 = 10.02 : x
  2. Step 2: Convert to fraction form
    10.26/15.37 = 10.02/x
  3. Step 3: Cross multiply
    10.26x = 15.37 × 10.02
  4. Step 4: Simplify right side
    10.26x = 154.10
  5. Step 5: Solve for x
    x = 154.10/10.26
  6. Step 6: Final answer
    x = 15.02

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