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Finding the Fourth Proportional to 204.53, 306.34 and 158.51

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Solution

The fourth proportional to 204.53, 306.34 and 158.51 is: 237.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.53 : 306.34 = 158.51 : x
  2. Step 2: Convert to fraction form
    204.53/306.34 = 158.51/x
  3. Step 3: Cross multiply
    204.53x = 306.34 × 158.51
  4. Step 4: Simplify right side
    204.53x = 48,558.32
  5. Step 5: Solve for x
    x = 48,558.32/204.53
  6. Step 6: Final answer
    x = 237.42

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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.