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Finding the Fourth Proportional to 375.23, 562.80 and 137.75

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Solution

The fourth proportional to 375.23, 562.80 and 137.75 is: 206.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.23 : 562.80 = 137.75 : x
  2. Step 2: Convert to fraction form
    375.23/562.80 = 137.75/x
  3. Step 3: Cross multiply
    375.23x = 562.80 × 137.75
  4. Step 4: Simplify right side
    375.23x = 77,525.70
  5. Step 5: Solve for x
    x = 77,525.70/375.23
  6. Step 6: Final answer
    x = 206.61

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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.