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Finding the Fourth Proportional to 200.92, 277.37 and 135.53

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Solution

The fourth proportional to 200.92, 277.37 and 135.53 is: 187.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.92 : 277.37 = 135.53 : x
  2. Step 2: Convert to fraction form
    200.92/277.37 = 135.53/x
  3. Step 3: Cross multiply
    200.92x = 277.37 × 135.53
  4. Step 4: Simplify right side
    200.92x = 37,591.96
  5. Step 5: Solve for x
    x = 37,591.96/200.92
  6. Step 6: Final answer
    x = 187.10

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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.