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Finding the Fourth Proportional to 306.06, 459.27 and 203.28

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Solution

The fourth proportional to 306.06, 459.27 and 203.28 is: 305.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.06 : 459.27 = 203.28 : x
  2. Step 2: Convert to fraction form
    306.06/459.27 = 203.28/x
  3. Step 3: Cross multiply
    306.06x = 459.27 × 203.28
  4. Step 4: Simplify right side
    306.06x = 93,360.41
  5. Step 5: Solve for x
    x = 93,360.41/306.06
  6. Step 6: Final answer
    x = 305.04

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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.