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Finding the Fourth Proportional to 300.57, 414.74 and 176.18

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Solution

The fourth proportional to 300.57, 414.74 and 176.18 is: 243.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.57 : 414.74 = 176.18 : x
  2. Step 2: Convert to fraction form
    300.57/414.74 = 176.18/x
  3. Step 3: Cross multiply
    300.57x = 414.74 × 176.18
  4. Step 4: Simplify right side
    300.57x = 73,070.37
  5. Step 5: Solve for x
    x = 73,070.37/300.57
  6. Step 6: Final answer
    x = 243.11

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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.