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Finding the Fourth Proportional to 200.60, 277.20 and 180.92

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Solution

The fourth proportional to 200.60, 277.20 and 180.92 is: 250.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.60 : 277.20 = 180.92 : x
  2. Step 2: Convert to fraction form
    200.60/277.20 = 180.92/x
  3. Step 3: Cross multiply
    200.60x = 277.20 × 180.92
  4. Step 4: Simplify right side
    200.60x = 50,151.02
  5. Step 5: Solve for x
    x = 50,151.02/200.60
  6. Step 6: Final answer
    x = 250.01

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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.