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Finding the Fourth Proportional to 375.95, 563.96 and 102.05

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Solution

The fourth proportional to 375.95, 563.96 and 102.05 is: 153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.95 : 563.96 = 102.05 : x
  2. Step 2: Convert to fraction form
    375.95/563.96 = 102.05/x
  3. Step 3: Cross multiply
    375.95x = 563.96 × 102.05
  4. Step 4: Simplify right side
    375.95x = 57,549.30
  5. Step 5: Solve for x
    x = 57,549.30/375.95
  6. Step 6: Final answer
    x = 153.08

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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.