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Finding the Fourth Proportional to 653.24, 979.86 and 220.40

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Solution

The fourth proportional to 653.24, 979.86 and 220.40 is: 330.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.24 : 979.86 = 220.40 : x
  2. Step 2: Convert to fraction form
    653.24/979.86 = 220.40/x
  3. Step 3: Cross multiply
    653.24x = 979.86 × 220.40
  4. Step 4: Simplify right side
    653.24x = 215,961.14
  5. Step 5: Solve for x
    x = 215,961.14/653.24
  6. Step 6: Final answer
    x = 330.60

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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.