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Finding the Fourth Proportional to 139.10, 207.79 and 106.58

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Solution

The fourth proportional to 139.10, 207.79 and 106.58 is: 159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.10 : 207.79 = 106.58 : x
  2. Step 2: Convert to fraction form
    139.10/207.79 = 106.58/x
  3. Step 3: Cross multiply
    139.10x = 207.79 × 106.58
  4. Step 4: Simplify right side
    139.10x = 22,146.51
  5. Step 5: Solve for x
    x = 22,146.51/139.10
  6. Step 6: Final answer
    x = 159.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.