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Finding the Fourth Proportional to 231.77, 347.66 and 140.45

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Solution

The fourth proportional to 231.77, 347.66 and 140.45 is: 210.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.77 : 347.66 = 140.45 : x
  2. Step 2: Convert to fraction form
    231.77/347.66 = 140.45/x
  3. Step 3: Cross multiply
    231.77x = 347.66 × 140.45
  4. Step 4: Simplify right side
    231.77x = 48,826.41
  5. Step 5: Solve for x
    x = 48,826.41/231.77
  6. Step 6: Final answer
    x = 210.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.