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Finding the Fourth Proportional to 625.70, 938.53 and 214.78

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Solution

The fourth proportional to 625.70, 938.53 and 214.78 is: 322.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.70 : 938.53 = 214.78 : x
  2. Step 2: Convert to fraction form
    625.70/938.53 = 214.78/x
  3. Step 3: Cross multiply
    625.70x = 938.53 × 214.78
  4. Step 4: Simplify right side
    625.70x = 201,577.47
  5. Step 5: Solve for x
    x = 201,577.47/625.70
  6. Step 6: Final answer
    x = 322.16

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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.