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Finding the Fourth Proportional to 40.02, 55.25 and 31.63

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Solution

The fourth proportional to 40.02, 55.25 and 31.63 is: 43.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.02 : 55.25 = 31.63 : x
  2. Step 2: Convert to fraction form
    40.02/55.25 = 31.63/x
  3. Step 3: Cross multiply
    40.02x = 55.25 × 31.63
  4. Step 4: Simplify right side
    40.02x = 1,747.56
  5. Step 5: Solve for x
    x = 1,747.56/40.02
  6. Step 6: Final answer
    x = 43.67

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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.