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Finding the Fourth Proportional to 375.30, 562.86 and 131.81

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Solution

The fourth proportional to 375.30, 562.86 and 131.81 is: 197.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.30 : 562.86 = 131.81 : x
  2. Step 2: Convert to fraction form
    375.30/562.86 = 131.81/x
  3. Step 3: Cross multiply
    375.30x = 562.86 × 131.81
  4. Step 4: Simplify right side
    375.30x = 74,187.76
  5. Step 5: Solve for x
    x = 74,187.76/375.30
  6. Step 6: Final answer
    x = 197.68

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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.