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Finding the Fourth Proportional to 630.83, 946.26 and 168.61

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Solution

The fourth proportional to 630.83, 946.26 and 168.61 is: 252.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.83 : 946.26 = 168.61 : x
  2. Step 2: Convert to fraction form
    630.83/946.26 = 168.61/x
  3. Step 3: Cross multiply
    630.83x = 946.26 × 168.61
  4. Step 4: Simplify right side
    630.83x = 159,544.17
  5. Step 5: Solve for x
    x = 159,544.17/630.83
  6. Step 6: Final answer
    x = 252.91

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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.