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Finding the Fourth Proportional to 367.74, 508.77 and 354.24

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Solution

The fourth proportional to 367.74, 508.77 and 354.24 is: 490.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.74 : 508.77 = 354.24 : x
  2. Step 2: Convert to fraction form
    367.74/508.77 = 354.24/x
  3. Step 3: Cross multiply
    367.74x = 508.77 × 354.24
  4. Step 4: Simplify right side
    367.74x = 180,226.68
  5. Step 5: Solve for x
    x = 180,226.68/367.74
  6. Step 6: Final answer
    x = 490.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.