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Finding the Fourth Proportional to 622, 932.37 and 256.99

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Solution

The fourth proportional to 622, 932.37 and 256.99 is: 385.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    622 : 932.37 = 256.99 : x
  2. Step 2: Convert to fraction form
    622/932.37 = 256.99/x
  3. Step 3: Cross multiply
    622x = 932.37 × 256.99
  4. Step 4: Simplify right side
    622x = 239,609.77
  5. Step 5: Solve for x
    x = 239,609.77/622
  6. Step 6: Final answer
    x = 385.22

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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.