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Finding the Fourth Proportional to 144.35, 214.67 and 139.80

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Solution

The fourth proportional to 144.35, 214.67 and 139.80 is: 207.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.35 : 214.67 = 139.80 : x
  2. Step 2: Convert to fraction form
    144.35/214.67 = 139.80/x
  3. Step 3: Cross multiply
    144.35x = 214.67 × 139.80
  4. Step 4: Simplify right side
    144.35x = 30,010.14
  5. Step 5: Solve for x
    x = 30,010.14/144.35
  6. Step 6: Final answer
    x = 207.89

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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.