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Finding the Fourth Proportional to 204.80, 305.91 and 153.16

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Solution

The fourth proportional to 204.80, 305.91 and 153.16 is: 228.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.80 : 305.91 = 153.16 : x
  2. Step 2: Convert to fraction form
    204.80/305.91 = 153.16/x
  3. Step 3: Cross multiply
    204.80x = 305.91 × 153.16
  4. Step 4: Simplify right side
    204.80x = 46,852.41
  5. Step 5: Solve for x
    x = 46,852.41/204.80
  6. Step 6: Final answer
    x = 228.78

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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.