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Finding the Fourth Proportional to 144.32, 215.37 and 128.94

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Solution

The fourth proportional to 144.32, 215.37 and 128.94 is: 192.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.32 : 215.37 = 128.94 : x
  2. Step 2: Convert to fraction form
    144.32/215.37 = 128.94/x
  3. Step 3: Cross multiply
    144.32x = 215.37 × 128.94
  4. Step 4: Simplify right side
    144.32x = 27,769.81
  5. Step 5: Solve for x
    x = 27,769.81/144.32
  6. Step 6: Final answer
    x = 192.42

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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.