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Finding the Fourth Proportional to 40.94, 56.46 and 26.38

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Solution

The fourth proportional to 40.94, 56.46 and 26.38 is: 36.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.94 : 56.46 = 26.38 : x
  2. Step 2: Convert to fraction form
    40.94/56.46 = 26.38/x
  3. Step 3: Cross multiply
    40.94x = 56.46 × 26.38
  4. Step 4: Simplify right side
    40.94x = 1,489.41
  5. Step 5: Solve for x
    x = 1,489.41/40.94
  6. Step 6: Final answer
    x = 36.38

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Find fourth proportional to 20.47, 28.23 and 13.19
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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.