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Finding the Fourth Proportional to 164.98, 246.11 and 139.42

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Solution

The fourth proportional to 164.98, 246.11 and 139.42 is: 207.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.98 : 246.11 = 139.42 : x
  2. Step 2: Convert to fraction form
    164.98/246.11 = 139.42/x
  3. Step 3: Cross multiply
    164.98x = 246.11 × 139.42
  4. Step 4: Simplify right side
    164.98x = 34,312.66
  5. Step 5: Solve for x
    x = 34,312.66/164.98
  6. Step 6: Final answer
    x = 207.98

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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.