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Finding the Fourth Proportional to 375.20, 520.26 and 362.90

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Solution

The fourth proportional to 375.20, 520.26 and 362.90 is: 503.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.20 : 520.26 = 362.90 : x
  2. Step 2: Convert to fraction form
    375.20/520.26 = 362.90/x
  3. Step 3: Cross multiply
    375.20x = 520.26 × 362.90
  4. Step 4: Simplify right side
    375.20x = 188,799.75
  5. Step 5: Solve for x
    x = 188,799.75/375.20
  6. Step 6: Final answer
    x = 503.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.