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Finding the Fourth Proportional to 164.77, 246.06 and 139.12

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Solution

The fourth proportional to 164.77, 246.06 and 139.12 is: 207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.77 : 246.06 = 139.12 : x
  2. Step 2: Convert to fraction form
    164.77/246.06 = 139.12/x
  3. Step 3: Cross multiply
    164.77x = 246.06 × 139.12
  4. Step 4: Simplify right side
    164.77x = 34,231.17
  5. Step 5: Solve for x
    x = 34,231.17/164.77
  6. Step 6: Final answer
    x = 207.75

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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.