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Finding the Fourth Proportional to 308.22, 459.78 and 297.55

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Solution

The fourth proportional to 308.22, 459.78 and 297.55 is: 443.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.22 : 459.78 = 297.55 : x
  2. Step 2: Convert to fraction form
    308.22/459.78 = 297.55/x
  3. Step 3: Cross multiply
    308.22x = 459.78 × 297.55
  4. Step 4: Simplify right side
    308.22x = 136,807.00
  5. Step 5: Solve for x
    x = 136,807.00/308.22
  6. Step 6: Final answer
    x = 443.87

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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.