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Finding the Fourth Proportional to 144.04, 214.65 and 143.23

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Solution

The fourth proportional to 144.04, 214.65 and 143.23 is: 213.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.04 : 214.65 = 143.23 : x
  2. Step 2: Convert to fraction form
    144.04/214.65 = 143.23/x
  3. Step 3: Cross multiply
    144.04x = 214.65 × 143.23
  4. Step 4: Simplify right side
    144.04x = 30,744.32
  5. Step 5: Solve for x
    x = 30,744.32/144.04
  6. Step 6: Final answer
    x = 213.44

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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.