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Finding the Fourth Proportional to 139.90, 206.92 and 139.90

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Solution

The fourth proportional to 139.90, 206.92 and 139.90 is: 206.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.90 : 206.92 = 139.90 : x
  2. Step 2: Convert to fraction form
    139.90/206.92 = 139.90/x
  3. Step 3: Cross multiply
    139.90x = 206.92 × 139.90
  4. Step 4: Simplify right side
    139.90x = 28,948.11
  5. Step 5: Solve for x
    x = 28,948.11/139.90
  6. Step 6: Final answer
    x = 206.92

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.