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Finding the Fourth Proportional to 200.48, 277.93 and 185.29

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Solution

The fourth proportional to 200.48, 277.93 and 185.29 is: 256.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.48 : 277.93 = 185.29 : x
  2. Step 2: Convert to fraction form
    200.48/277.93 = 185.29/x
  3. Step 3: Cross multiply
    200.48x = 277.93 × 185.29
  4. Step 4: Simplify right side
    200.48x = 51,497.19
  5. Step 5: Solve for x
    x = 51,497.19/200.48
  6. Step 6: Final answer
    x = 256.88

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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.