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Finding the Fourth Proportional to 218.12, 300.78 and 155.96

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Solution

The fourth proportional to 218.12, 300.78 and 155.96 is: 215.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.12 : 300.78 = 155.96 : x
  2. Step 2: Convert to fraction form
    218.12/300.78 = 155.96/x
  3. Step 3: Cross multiply
    218.12x = 300.78 × 155.96
  4. Step 4: Simplify right side
    218.12x = 46,909.65
  5. Step 5: Solve for x
    x = 46,909.65/218.12
  6. Step 6: Final answer
    x = 215.06

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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.