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Finding the Fourth Proportional to 375.85, 564 and 132.58

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Solution

The fourth proportional to 375.85, 564 and 132.58 is: 198.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.85 : 564 = 132.58 : x
  2. Step 2: Convert to fraction form
    375.85/564 = 132.58/x
  3. Step 3: Cross multiply
    375.85x = 564 × 132.58
  4. Step 4: Simplify right side
    375.85x = 74,775.12
  5. Step 5: Solve for x
    x = 74,775.12/375.85
  6. Step 6: Final answer
    x = 198.95

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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.