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Finding the Fourth Proportional to 23.07, 32.00 and 21.86

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Solution

The fourth proportional to 23.07, 32.00 and 21.86 is: 30.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.07 : 32.00 = 21.86 : x
  2. Step 2: Convert to fraction form
    23.07/32.00 = 21.86/x
  3. Step 3: Cross multiply
    23.07x = 32.00 × 21.86
  4. Step 4: Simplify right side
    23.07x = 699.41
  5. Step 5: Solve for x
    x = 699.41/23.07
  6. Step 6: Final answer
    x = 30.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.