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Finding the Fourth Proportional to 370.82, 508.40 and 364.23

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Solution

The fourth proportional to 370.82, 508.40 and 364.23 is: 499.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.82 : 508.40 = 364.23 : x
  2. Step 2: Convert to fraction form
    370.82/508.40 = 364.23/x
  3. Step 3: Cross multiply
    370.82x = 508.40 × 364.23
  4. Step 4: Simplify right side
    370.82x = 185,172.71
  5. Step 5: Solve for x
    x = 185,172.71/370.82
  6. Step 6: Final answer
    x = 499.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.