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Finding the Fourth Proportional to 23.08, 31.64 and 22.70

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Solution

The fourth proportional to 23.08, 31.64 and 22.70 is: 31.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.08 : 31.64 = 22.70 : x
  2. Step 2: Convert to fraction form
    23.08/31.64 = 22.70/x
  3. Step 3: Cross multiply
    23.08x = 31.64 × 22.70
  4. Step 4: Simplify right side
    23.08x = 718.23
  5. Step 5: Solve for x
    x = 718.23/23.08
  6. Step 6: Final answer
    x = 31.12

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