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Finding the Fourth Proportional to 425.67, 637.98 and 217.14

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Solution

The fourth proportional to 425.67, 637.98 and 217.14 is: 325.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.67 : 637.98 = 217.14 : x
  2. Step 2: Convert to fraction form
    425.67/637.98 = 217.14/x
  3. Step 3: Cross multiply
    425.67x = 637.98 × 217.14
  4. Step 4: Simplify right side
    425.67x = 138,530.98
  5. Step 5: Solve for x
    x = 138,530.98/425.67
  6. Step 6: Final answer
    x = 325.44

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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.