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Finding the Fourth Proportional to 625.66, 938.36 and 214.79

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Solution

The fourth proportional to 625.66, 938.36 and 214.79 is: 322.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.66 : 938.36 = 214.79 : x
  2. Step 2: Convert to fraction form
    625.66/938.36 = 214.79/x
  3. Step 3: Cross multiply
    625.66x = 938.36 × 214.79
  4. Step 4: Simplify right side
    625.66x = 201,544.58
  5. Step 5: Solve for x
    x = 201,544.58/625.66
  6. Step 6: Final answer
    x = 322.13

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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.