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Finding the Fourth Proportional to 204.95, 305.85 and 174.57

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Solution

The fourth proportional to 204.95, 305.85 and 174.57 is: 260.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.95 : 305.85 = 174.57 : x
  2. Step 2: Convert to fraction form
    204.95/305.85 = 174.57/x
  3. Step 3: Cross multiply
    204.95x = 305.85 × 174.57
  4. Step 4: Simplify right side
    204.95x = 53,392.23
  5. Step 5: Solve for x
    x = 53,392.23/204.95
  6. Step 6: Final answer
    x = 260.52

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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.