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Finding the Fourth Proportional to 370.60, 513.59 and 365.38

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Solution

The fourth proportional to 370.60, 513.59 and 365.38 is: 506.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.60 : 513.59 = 365.38 : x
  2. Step 2: Convert to fraction form
    370.60/513.59 = 365.38/x
  3. Step 3: Cross multiply
    370.60x = 513.59 × 365.38
  4. Step 4: Simplify right side
    370.60x = 187,651.12
  5. Step 5: Solve for x
    x = 187,651.12/370.60
  6. Step 6: Final answer
    x = 506.35

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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.