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Finding the Fourth Proportional to 657.37, 986.20 and 218.58

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Solution

The fourth proportional to 657.37, 986.20 and 218.58 is: 327.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.37 : 986.20 = 218.58 : x
  2. Step 2: Convert to fraction form
    657.37/986.20 = 218.58/x
  3. Step 3: Cross multiply
    657.37x = 986.20 × 218.58
  4. Step 4: Simplify right side
    657.37x = 215,567.57
  5. Step 5: Solve for x
    x = 215,567.57/657.37
  6. Step 6: Final answer
    x = 327.93

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Similar ratio
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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.