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Finding the Fourth Proportional to 144.64, 215.80 and 133.84

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Solution

The fourth proportional to 144.64, 215.80 and 133.84 is: 199.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.64 : 215.80 = 133.84 : x
  2. Step 2: Convert to fraction form
    144.64/215.80 = 133.84/x
  3. Step 3: Cross multiply
    144.64x = 215.80 × 133.84
  4. Step 4: Simplify right side
    144.64x = 28,882.67
  5. Step 5: Solve for x
    x = 28,882.67/144.64
  6. Step 6: Final answer
    x = 199.69

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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.