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Finding the Fourth Proportional to 630.75, 946.24 and 220.14

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Solution

The fourth proportional to 630.75, 946.24 and 220.14 is: 330.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.75 : 946.24 = 220.14 : x
  2. Step 2: Convert to fraction form
    630.75/946.24 = 220.14/x
  3. Step 3: Cross multiply
    630.75x = 946.24 × 220.14
  4. Step 4: Simplify right side
    630.75x = 208,304.72
  5. Step 5: Solve for x
    x = 208,304.72/630.75
  6. Step 6: Final answer
    x = 330.25

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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.