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Finding the Fourth Proportional to 164.58, 246.63 and 123.95

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Solution

The fourth proportional to 164.58, 246.63 and 123.95 is: 185.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.58 : 246.63 = 123.95 : x
  2. Step 2: Convert to fraction form
    164.58/246.63 = 123.95/x
  3. Step 3: Cross multiply
    164.58x = 246.63 × 123.95
  4. Step 4: Simplify right side
    164.58x = 30,569.79
  5. Step 5: Solve for x
    x = 30,569.79/164.58
  6. Step 6: Final answer
    x = 185.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.