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Finding the Fourth Proportional to 200.34, 277.76 and 193.59

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Solution

The fourth proportional to 200.34, 277.76 and 193.59 is: 268.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.34 : 277.76 = 193.59 : x
  2. Step 2: Convert to fraction form
    200.34/277.76 = 193.59/x
  3. Step 3: Cross multiply
    200.34x = 277.76 × 193.59
  4. Step 4: Simplify right side
    200.34x = 53,772.04
  5. Step 5: Solve for x
    x = 53,772.04/200.34
  6. Step 6: Final answer
    x = 268.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.