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Finding the Fourth Proportional to 375.21, 558.96 and 365.67

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Solution

The fourth proportional to 375.21, 558.96 and 365.67 is: 544.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.21 : 558.96 = 365.67 : x
  2. Step 2: Convert to fraction form
    375.21/558.96 = 365.67/x
  3. Step 3: Cross multiply
    375.21x = 558.96 × 365.67
  4. Step 4: Simplify right side
    375.21x = 204,394.90
  5. Step 5: Solve for x
    x = 204,394.90/375.21
  6. Step 6: Final answer
    x = 544.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.