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Finding the Fourth Proportional to 418.05, 627.18 and 212.65

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Solution

The fourth proportional to 418.05, 627.18 and 212.65 is: 319.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.05 : 627.18 = 212.65 : x
  2. Step 2: Convert to fraction form
    418.05/627.18 = 212.65/x
  3. Step 3: Cross multiply
    418.05x = 627.18 × 212.65
  4. Step 4: Simplify right side
    418.05x = 133,368.76
  5. Step 5: Solve for x
    x = 133,368.76/418.05
  6. Step 6: Final answer
    x = 319.03

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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.