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Finding the Fourth Proportional to 631.69, 946.90 and 220.75

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Solution

The fourth proportional to 631.69, 946.90 and 220.75 is: 330.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.69 : 946.90 = 220.75 : x
  2. Step 2: Convert to fraction form
    631.69/946.90 = 220.75/x
  3. Step 3: Cross multiply
    631.69x = 946.90 × 220.75
  4. Step 4: Simplify right side
    631.69x = 209,028.18
  5. Step 5: Solve for x
    x = 209,028.18/631.69
  6. Step 6: Final answer
    x = 330.90

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1.5x scale

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.