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Finding the Fourth Proportional to 144.56, 215.86 and 135.68

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Solution

The fourth proportional to 144.56, 215.86 and 135.68 is: 202.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.56 : 215.86 = 135.68 : x
  2. Step 2: Convert to fraction form
    144.56/215.86 = 135.68/x
  3. Step 3: Cross multiply
    144.56x = 215.86 × 135.68
  4. Step 4: Simplify right side
    144.56x = 29,287.88
  5. Step 5: Solve for x
    x = 29,287.88/144.56
  6. Step 6: Final answer
    x = 202.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.