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Finding the Fourth Proportional to 204.35, 304.90 and 177.35

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Solution

The fourth proportional to 204.35, 304.90 and 177.35 is: 264.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.35 : 304.90 = 177.35 : x
  2. Step 2: Convert to fraction form
    204.35/304.90 = 177.35/x
  3. Step 3: Cross multiply
    204.35x = 304.90 × 177.35
  4. Step 4: Simplify right side
    204.35x = 54,074.02
  5. Step 5: Solve for x
    x = 54,074.02/204.35
  6. Step 6: Final answer
    x = 264.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.