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Finding the Fourth Proportional to 40.92, 56.46 and 23.43

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Solution

The fourth proportional to 40.92, 56.46 and 23.43 is: 32.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.92 : 56.46 = 23.43 : x
  2. Step 2: Convert to fraction form
    40.92/56.46 = 23.43/x
  3. Step 3: Cross multiply
    40.92x = 56.46 × 23.43
  4. Step 4: Simplify right side
    40.92x = 1,322.86
  5. Step 5: Solve for x
    x = 1,322.86/40.92
  6. Step 6: Final answer
    x = 32.33

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Find fourth proportional to 20.46, 28.23 and 11.72
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.