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Finding the Fourth Proportional to 218.60, 301.70 and 135.80

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Solution

The fourth proportional to 218.60, 301.70 and 135.80 is: 187.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.60 : 301.70 = 135.80 : x
  2. Step 2: Convert to fraction form
    218.60/301.70 = 135.80/x
  3. Step 3: Cross multiply
    218.60x = 301.70 × 135.80
  4. Step 4: Simplify right side
    218.60x = 40,970.18
  5. Step 5: Solve for x
    x = 40,970.18/218.60
  6. Step 6: Final answer
    x = 187.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.