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Finding the Fourth Proportional to 377.05, 564.57 and 194.50

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Solution

The fourth proportional to 377.05, 564.57 and 194.50 is: 291.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.05 : 564.57 = 194.50 : x
  2. Step 2: Convert to fraction form
    377.05/564.57 = 194.50/x
  3. Step 3: Cross multiply
    377.05x = 564.57 × 194.50
  4. Step 4: Simplify right side
    377.05x = 109,808.87
  5. Step 5: Solve for x
    x = 109,808.87/377.05
  6. Step 6: Final answer
    x = 291.23

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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.