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Finding the Fourth Proportional to 418.80, 628.16 and 158.66

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Solution

The fourth proportional to 418.80, 628.16 and 158.66 is: 237.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.80 : 628.16 = 158.66 : x
  2. Step 2: Convert to fraction form
    418.80/628.16 = 158.66/x
  3. Step 3: Cross multiply
    418.80x = 628.16 × 158.66
  4. Step 4: Simplify right side
    418.80x = 99,662.29
  5. Step 5: Solve for x
    x = 99,662.29/418.80
  6. Step 6: Final answer
    x = 237.97

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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.