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Finding the Fourth Proportional to 630.65, 945.86 and 214.21

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Solution

The fourth proportional to 630.65, 945.86 and 214.21 is: 321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.65 : 945.86 = 214.21 : x
  2. Step 2: Convert to fraction form
    630.65/945.86 = 214.21/x
  3. Step 3: Cross multiply
    630.65x = 945.86 × 214.21
  4. Step 4: Simplify right side
    630.65x = 202,612.67
  5. Step 5: Solve for x
    x = 202,612.67/630.65
  6. Step 6: Final answer
    x = 321.28

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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.