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Finding the Fourth Proportional to 23, 34.31 and 20.98

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Solution

The fourth proportional to 23, 34.31 and 20.98 is: 31.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23 : 34.31 = 20.98 : x
  2. Step 2: Convert to fraction form
    23/34.31 = 20.98/x
  3. Step 3: Cross multiply
    23x = 34.31 × 20.98
  4. Step 4: Simplify right side
    23x = 719.82
  5. Step 5: Solve for x
    x = 719.82/23
  6. Step 6: Final answer
    x = 31.30

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.