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Finding the Fourth Proportional to 630.88, 946.39 and 168.66

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Solution

The fourth proportional to 630.88, 946.39 and 168.66 is: 253.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.88 : 946.39 = 168.66 : x
  2. Step 2: Convert to fraction form
    630.88/946.39 = 168.66/x
  3. Step 3: Cross multiply
    630.88x = 946.39 × 168.66
  4. Step 4: Simplify right side
    630.88x = 159,618.14
  5. Step 5: Solve for x
    x = 159,618.14/630.88
  6. Step 6: Final answer
    x = 253.01

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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.