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Finding the Fourth Proportional to 377.39, 564.78 and 238.50

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Solution

The fourth proportional to 377.39, 564.78 and 238.50 is: 356.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.39 : 564.78 = 238.50 : x
  2. Step 2: Convert to fraction form
    377.39/564.78 = 238.50/x
  3. Step 3: Cross multiply
    377.39x = 564.78 × 238.50
  4. Step 4: Simplify right side
    377.39x = 134,700.03
  5. Step 5: Solve for x
    x = 134,700.03/377.39
  6. Step 6: Final answer
    x = 356.93

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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.