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Finding the Fourth Proportional to 144.68, 215.33 and 144.23

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Solution

The fourth proportional to 144.68, 215.33 and 144.23 is: 214.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.68 : 215.33 = 144.23 : x
  2. Step 2: Convert to fraction form
    144.68/215.33 = 144.23/x
  3. Step 3: Cross multiply
    144.68x = 215.33 × 144.23
  4. Step 4: Simplify right side
    144.68x = 31,055.25
  5. Step 5: Solve for x
    x = 31,055.25/144.68
  6. Step 6: Final answer
    x = 214.66

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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.