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Finding the Fourth Proportional to 375.14, 562.49 and 144.05

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Solution

The fourth proportional to 375.14, 562.49 and 144.05 is: 215.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.14 : 562.49 = 144.05 : x
  2. Step 2: Convert to fraction form
    375.14/562.49 = 144.05/x
  3. Step 3: Cross multiply
    375.14x = 562.49 × 144.05
  4. Step 4: Simplify right side
    375.14x = 81,026.68
  5. Step 5: Solve for x
    x = 81,026.68/375.14
  6. Step 6: Final answer
    x = 215.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.