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Finding the Fourth Proportional to 144.09, 215.64 and 83.07

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Solution

The fourth proportional to 144.09, 215.64 and 83.07 is: 124.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.09 : 215.64 = 83.07 : x
  2. Step 2: Convert to fraction form
    144.09/215.64 = 83.07/x
  3. Step 3: Cross multiply
    144.09x = 215.64 × 83.07
  4. Step 4: Simplify right side
    144.09x = 17,913.21
  5. Step 5: Solve for x
    x = 17,913.21/144.09
  6. Step 6: Final answer
    x = 124.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.