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Finding the Fourth Proportional to 300.64, 414.78 and 176.30

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Solution

The fourth proportional to 300.64, 414.78 and 176.30 is: 243.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.64 : 414.78 = 176.30 : x
  2. Step 2: Convert to fraction form
    300.64/414.78 = 176.30/x
  3. Step 3: Cross multiply
    300.64x = 414.78 × 176.30
  4. Step 4: Simplify right side
    300.64x = 73,125.71
  5. Step 5: Solve for x
    x = 73,125.71/300.64
  6. Step 6: Final answer
    x = 243.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.