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Finding the Fourth Proportional to 653.33, 980.13 and 214.63

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Solution

The fourth proportional to 653.33, 980.13 and 214.63 is: 321.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.33 : 980.13 = 214.63 : x
  2. Step 2: Convert to fraction form
    653.33/980.13 = 214.63/x
  3. Step 3: Cross multiply
    653.33x = 980.13 × 214.63
  4. Step 4: Simplify right side
    653.33x = 210,365.30
  5. Step 5: Solve for x
    x = 210,365.30/653.33
  6. Step 6: Final answer
    x = 321.99

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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.