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Finding the Fourth Proportional to 144.55, 214.28 and 142.26

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Solution

The fourth proportional to 144.55, 214.28 and 142.26 is: 210.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.55 : 214.28 = 142.26 : x
  2. Step 2: Convert to fraction form
    144.55/214.28 = 142.26/x
  3. Step 3: Cross multiply
    144.55x = 214.28 × 142.26
  4. Step 4: Simplify right side
    144.55x = 30,482.49
  5. Step 5: Solve for x
    x = 30,482.49/144.55
  6. Step 6: Final answer
    x = 210.88

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.