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Finding the Fourth Proportional to 203.83, 306.05 and 176.49

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Solution

The fourth proportional to 203.83, 306.05 and 176.49 is: 265.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.83 : 306.05 = 176.49 : x
  2. Step 2: Convert to fraction form
    203.83/306.05 = 176.49/x
  3. Step 3: Cross multiply
    203.83x = 306.05 × 176.49
  4. Step 4: Simplify right side
    203.83x = 54,013.88
  5. Step 5: Solve for x
    x = 54,013.88/203.83
  6. Step 6: Final answer
    x = 265.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.