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Finding the Fourth Proportional to 144.17, 214.72 and 140.32

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Solution

The fourth proportional to 144.17, 214.72 and 140.32 is: 208.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.17 : 214.72 = 140.32 : x
  2. Step 2: Convert to fraction form
    144.17/214.72 = 140.32/x
  3. Step 3: Cross multiply
    144.17x = 214.72 × 140.32
  4. Step 4: Simplify right side
    144.17x = 30,129.51
  5. Step 5: Solve for x
    x = 30,129.51/144.17
  6. Step 6: Final answer
    x = 208.99

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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.