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Finding the Fourth Proportional to 23.40, 32.16 and 22.94

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Solution

The fourth proportional to 23.40, 32.16 and 22.94 is: 31.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.40 : 32.16 = 22.94 : x
  2. Step 2: Convert to fraction form
    23.40/32.16 = 22.94/x
  3. Step 3: Cross multiply
    23.40x = 32.16 × 22.94
  4. Step 4: Simplify right side
    23.40x = 737.75
  5. Step 5: Solve for x
    x = 737.75/23.40
  6. Step 6: Final answer
    x = 31.53

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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.