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Finding the Fourth Proportional to 200.88, 302.79 and 182.66

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Solution

The fourth proportional to 200.88, 302.79 and 182.66 is: 275.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.88 : 302.79 = 182.66 : x
  2. Step 2: Convert to fraction form
    200.88/302.79 = 182.66/x
  3. Step 3: Cross multiply
    200.88x = 302.79 × 182.66
  4. Step 4: Simplify right side
    200.88x = 55,305.76
  5. Step 5: Solve for x
    x = 55,305.76/200.88
  6. Step 6: Final answer
    x = 275.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.