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Finding the Fourth Proportional to 399.20, 595.95 and 337.64

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Solution

The fourth proportional to 399.20, 595.95 and 337.64 is: 504.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.20 : 595.95 = 337.64 : x
  2. Step 2: Convert to fraction form
    399.20/595.95 = 337.64/x
  3. Step 3: Cross multiply
    399.20x = 595.95 × 337.64
  4. Step 4: Simplify right side
    399.20x = 201,214.87
  5. Step 5: Solve for x
    x = 201,214.87/399.20
  6. Step 6: Final answer
    x = 504.05

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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.