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Finding the Fourth Proportional to 375.12, 559.28 and 365.49

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Solution

The fourth proportional to 375.12, 559.28 and 365.49 is: 544.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.12 : 559.28 = 365.49 : x
  2. Step 2: Convert to fraction form
    375.12/559.28 = 365.49/x
  3. Step 3: Cross multiply
    375.12x = 559.28 × 365.49
  4. Step 4: Simplify right side
    375.12x = 204,409.42
  5. Step 5: Solve for x
    x = 204,409.42/375.12
  6. Step 6: Final answer
    x = 544.92

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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.