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Finding the Fourth Proportional to 40.86, 55.91 and 40.69

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Solution

The fourth proportional to 40.86, 55.91 and 40.69 is: 55.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.86 : 55.91 = 40.69 : x
  2. Step 2: Convert to fraction form
    40.86/55.91 = 40.69/x
  3. Step 3: Cross multiply
    40.86x = 55.91 × 40.69
  4. Step 4: Simplify right side
    40.86x = 2,274.77
  5. Step 5: Solve for x
    x = 2,274.77/40.86
  6. Step 6: Final answer
    x = 55.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.