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Finding the Fourth Proportional to 375.60, 564.48 and 361.20

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Solution

The fourth proportional to 375.60, 564.48 and 361.20 is: 542.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.60 : 564.48 = 361.20 : x
  2. Step 2: Convert to fraction form
    375.60/564.48 = 361.20/x
  3. Step 3: Cross multiply
    375.60x = 564.48 × 361.20
  4. Step 4: Simplify right side
    375.60x = 203,890.18
  5. Step 5: Solve for x
    x = 203,890.18/375.60
  6. Step 6: Final answer
    x = 542.84

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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.