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Finding the Fourth Proportional to 17.31, 23.70 and 17.13

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Solution

The fourth proportional to 17.31, 23.70 and 17.13 is: 23.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.31 : 23.70 = 17.13 : x
  2. Step 2: Convert to fraction form
    17.31/23.70 = 17.13/x
  3. Step 3: Cross multiply
    17.31x = 23.70 × 17.13
  4. Step 4: Simplify right side
    17.31x = 405.98
  5. Step 5: Solve for x
    x = 405.98/17.31
  6. Step 6: Final answer
    x = 23.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.