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Finding the Fourth Proportional to 656.60, 985.02 and 217.88

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Solution

The fourth proportional to 656.60, 985.02 and 217.88 is: 326.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.60 : 985.02 = 217.88 : x
  2. Step 2: Convert to fraction form
    656.60/985.02 = 217.88/x
  3. Step 3: Cross multiply
    656.60x = 985.02 × 217.88
  4. Step 4: Simplify right side
    656.60x = 214,615.17
  5. Step 5: Solve for x
    x = 214,615.17/656.60
  6. Step 6: Final answer
    x = 326.86

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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.