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Finding the Fourth Proportional to 204.16, 305.82 and 152.89

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Solution

The fourth proportional to 204.16, 305.82 and 152.89 is: 229.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.16 : 305.82 = 152.89 : x
  2. Step 2: Convert to fraction form
    204.16/305.82 = 152.89/x
  3. Step 3: Cross multiply
    204.16x = 305.82 × 152.89
  4. Step 4: Simplify right side
    204.16x = 46,756.82
  5. Step 5: Solve for x
    x = 46,756.82/204.16
  6. Step 6: Final answer
    x = 229.02

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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.