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Finding the Fourth Proportional to 376.19, 564.38 and 202.78

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Solution

The fourth proportional to 376.19, 564.38 and 202.78 is: 304.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.19 : 564.38 = 202.78 : x
  2. Step 2: Convert to fraction form
    376.19/564.38 = 202.78/x
  3. Step 3: Cross multiply
    376.19x = 564.38 × 202.78
  4. Step 4: Simplify right side
    376.19x = 114,444.98
  5. Step 5: Solve for x
    x = 114,444.98/376.19
  6. Step 6: Final answer
    x = 304.22

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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.