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Finding the Fourth Proportional to 144.07, 216.89 and 131.31

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Solution

The fourth proportional to 144.07, 216.89 and 131.31 is: 197.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.07 : 216.89 = 131.31 : x
  2. Step 2: Convert to fraction form
    144.07/216.89 = 131.31/x
  3. Step 3: Cross multiply
    144.07x = 216.89 × 131.31
  4. Step 4: Simplify right side
    144.07x = 28,479.83
  5. Step 5: Solve for x
    x = 28,479.83/144.07
  6. Step 6: Final answer
    x = 197.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.