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Finding the Fourth Proportional to 417.80, 627.09 and 212.51

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Solution

The fourth proportional to 417.80, 627.09 and 212.51 is: 318.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.80 : 627.09 = 212.51 : x
  2. Step 2: Convert to fraction form
    417.80/627.09 = 212.51/x
  3. Step 3: Cross multiply
    417.80x = 627.09 × 212.51
  4. Step 4: Simplify right side
    417.80x = 133,262.90
  5. Step 5: Solve for x
    x = 133,262.90/417.80
  6. Step 6: Final answer
    x = 318.96

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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.