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Finding the Fourth Proportional to 218.87, 302.12 and 135.95

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Solution

The fourth proportional to 218.87, 302.12 and 135.95 is: 187.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.87 : 302.12 = 135.95 : x
  2. Step 2: Convert to fraction form
    218.87/302.12 = 135.95/x
  3. Step 3: Cross multiply
    218.87x = 302.12 × 135.95
  4. Step 4: Simplify right side
    218.87x = 41,071.02
  5. Step 5: Solve for x
    x = 41,071.02/218.87
  6. Step 6: Final answer
    x = 187.65

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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.