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Finding the Fourth Proportional to 375.72, 564 and 267.60

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Solution

The fourth proportional to 375.72, 564 and 267.60 is: 401.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.72 : 564 = 267.60 : x
  2. Step 2: Convert to fraction form
    375.72/564 = 267.60/x
  3. Step 3: Cross multiply
    375.72x = 564 × 267.60
  4. Step 4: Simplify right side
    375.72x = 150,926.40
  5. Step 5: Solve for x
    x = 150,926.40/375.72
  6. Step 6: Final answer
    x = 401.70

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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.