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Finding the Fourth Proportional to 630.90, 946.35 and 168.66

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Solution

The fourth proportional to 630.90, 946.35 and 168.66 is: 252.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.90 : 946.35 = 168.66 : x
  2. Step 2: Convert to fraction form
    630.90/946.35 = 168.66/x
  3. Step 3: Cross multiply
    630.90x = 946.35 × 168.66
  4. Step 4: Simplify right side
    630.90x = 159,611.39
  5. Step 5: Solve for x
    x = 159,611.39/630.90
  6. Step 6: Final answer
    x = 252.99

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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.