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Finding the Fourth Proportional to 140.47, 212.29 and 138.07

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Solution

The fourth proportional to 140.47, 212.29 and 138.07 is: 208.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.47 : 212.29 = 138.07 : x
  2. Step 2: Convert to fraction form
    140.47/212.29 = 138.07/x
  3. Step 3: Cross multiply
    140.47x = 212.29 × 138.07
  4. Step 4: Simplify right side
    140.47x = 29,310.88
  5. Step 5: Solve for x
    x = 29,310.88/140.47
  6. Step 6: Final answer
    x = 208.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.