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Finding the Fourth Proportional to 194.32, 268.11 and 152.81

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Solution

The fourth proportional to 194.32, 268.11 and 152.81 is: 210.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.32 : 268.11 = 152.81 : x
  2. Step 2: Convert to fraction form
    194.32/268.11 = 152.81/x
  3. Step 3: Cross multiply
    194.32x = 268.11 × 152.81
  4. Step 4: Simplify right side
    194.32x = 40,970.31
  5. Step 5: Solve for x
    x = 40,970.31/194.32
  6. Step 6: Final answer
    x = 210.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.