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Finding the Fourth Proportional to 192.82, 287.64 and 177.50

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Solution

The fourth proportional to 192.82, 287.64 and 177.50 is: 264.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.82 : 287.64 = 177.50 : x
  2. Step 2: Convert to fraction form
    192.82/287.64 = 177.50/x
  3. Step 3: Cross multiply
    192.82x = 287.64 × 177.50
  4. Step 4: Simplify right side
    192.82x = 51,056.10
  5. Step 5: Solve for x
    x = 51,056.10/192.82
  6. Step 6: Final answer
    x = 264.79

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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.