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Finding the Fourth Proportional to 40.76, 56.25 and 35.31

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Solution

The fourth proportional to 40.76, 56.25 and 35.31 is: 48.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.76 : 56.25 = 35.31 : x
  2. Step 2: Convert to fraction form
    40.76/56.25 = 35.31/x
  3. Step 3: Cross multiply
    40.76x = 56.25 × 35.31
  4. Step 4: Simplify right side
    40.76x = 1,986.19
  5. Step 5: Solve for x
    x = 1,986.19/40.76
  6. Step 6: Final answer
    x = 48.73

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Find fourth proportional to 20.38, 28.13 and 17.66
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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.