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Finding the Fourth Proportional to 379.50, 569.64 and 187.56

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Solution

The fourth proportional to 379.50, 569.64 and 187.56 is: 281.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.50 : 569.64 = 187.56 : x
  2. Step 2: Convert to fraction form
    379.50/569.64 = 187.56/x
  3. Step 3: Cross multiply
    379.50x = 569.64 × 187.56
  4. Step 4: Simplify right side
    379.50x = 106,841.68
  5. Step 5: Solve for x
    x = 106,841.68/379.50
  6. Step 6: Final answer
    x = 281.53

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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.