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Finding the Fourth Proportional to 40.88, 56.37 and 31.69

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Solution

The fourth proportional to 40.88, 56.37 and 31.69 is: 43.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.88 : 56.37 = 31.69 : x
  2. Step 2: Convert to fraction form
    40.88/56.37 = 31.69/x
  3. Step 3: Cross multiply
    40.88x = 56.37 × 31.69
  4. Step 4: Simplify right side
    40.88x = 1,786.37
  5. Step 5: Solve for x
    x = 1,786.37/40.88
  6. Step 6: Final answer
    x = 43.70

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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.