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Finding the Fourth Proportional to 630.22, 869.27 and 381.11

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Solution

The fourth proportional to 630.22, 869.27 and 381.11 is: 525.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.22 : 869.27 = 381.11 : x
  2. Step 2: Convert to fraction form
    630.22/869.27 = 381.11/x
  3. Step 3: Cross multiply
    630.22x = 869.27 × 381.11
  4. Step 4: Simplify right side
    630.22x = 331,281.24
  5. Step 5: Solve for x
    x = 331,281.24/630.22
  6. Step 6: Final answer
    x = 525.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.