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Finding the Fourth Proportional to 194.84, 268.74 and 172.88

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Solution

The fourth proportional to 194.84, 268.74 and 172.88 is: 238.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.84 : 268.74 = 172.88 : x
  2. Step 2: Convert to fraction form
    194.84/268.74 = 172.88/x
  3. Step 3: Cross multiply
    194.84x = 268.74 × 172.88
  4. Step 4: Simplify right side
    194.84x = 46,459.77
  5. Step 5: Solve for x
    x = 46,459.77/194.84
  6. Step 6: Final answer
    x = 238.45

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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.