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Finding the Fourth Proportional to 630.25, 945.28 and 168.02

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Solution

The fourth proportional to 630.25, 945.28 and 168.02 is: 252.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.25 : 945.28 = 168.02 : x
  2. Step 2: Convert to fraction form
    630.25/945.28 = 168.02/x
  3. Step 3: Cross multiply
    630.25x = 945.28 × 168.02
  4. Step 4: Simplify right side
    630.25x = 158,828.73
  5. Step 5: Solve for x
    x = 158,828.73/630.25
  6. Step 6: Final answer
    x = 252.01

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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.