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Finding the Fourth Proportional to 144.47, 215.13 and 144.06

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Solution

The fourth proportional to 144.47, 215.13 and 144.06 is: 214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.47 : 215.13 = 144.06 : x
  2. Step 2: Convert to fraction form
    144.47/215.13 = 144.06/x
  3. Step 3: Cross multiply
    144.47x = 215.13 × 144.06
  4. Step 4: Simplify right side
    144.47x = 30,991.63
  5. Step 5: Solve for x
    x = 30,991.63/144.47
  6. Step 6: Final answer
    x = 214.53

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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.