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Finding the Fourth Proportional to 399.10, 595.76 and 350.50

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Solution

The fourth proportional to 399.10, 595.76 and 350.50 is: 523.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.10 : 595.76 = 350.50 : x
  2. Step 2: Convert to fraction form
    399.10/595.76 = 350.50/x
  3. Step 3: Cross multiply
    399.10x = 595.76 × 350.50
  4. Step 4: Simplify right side
    399.10x = 208,813.88
  5. Step 5: Solve for x
    x = 208,813.88/399.10
  6. Step 6: Final answer
    x = 523.21

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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.