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Finding the Fourth Proportional to 144.78, 199.65 and 95.64

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Solution

The fourth proportional to 144.78, 199.65 and 95.64 is: 131.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.78 : 199.65 = 95.64 : x
  2. Step 2: Convert to fraction form
    144.78/199.65 = 95.64/x
  3. Step 3: Cross multiply
    144.78x = 199.65 × 95.64
  4. Step 4: Simplify right side
    144.78x = 19,094.53
  5. Step 5: Solve for x
    x = 19,094.53/144.78
  6. Step 6: Final answer
    x = 131.89

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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.