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Finding the Fourth Proportional to 375.59, 563.99 and 238.70

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Solution

The fourth proportional to 375.59, 563.99 and 238.70 is: 358.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.59 : 563.99 = 238.70 : x
  2. Step 2: Convert to fraction form
    375.59/563.99 = 238.70/x
  3. Step 3: Cross multiply
    375.59x = 563.99 × 238.70
  4. Step 4: Simplify right side
    375.59x = 134,624.41
  5. Step 5: Solve for x
    x = 134,624.41/375.59
  6. Step 6: Final answer
    x = 358.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.