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Finding the Fourth Proportional to 625.82, 938.85 and 214.84

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Solution

The fourth proportional to 625.82, 938.85 and 214.84 is: 322.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.82 : 938.85 = 214.84 : x
  2. Step 2: Convert to fraction form
    625.82/938.85 = 214.84/x
  3. Step 3: Cross multiply
    625.82x = 938.85 × 214.84
  4. Step 4: Simplify right side
    625.82x = 201,700.19
  5. Step 5: Solve for x
    x = 201,700.19/625.82
  6. Step 6: Final answer
    x = 322.30

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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.