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Finding the Fourth Proportional to 399.02, 598.33 and 167.85

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Solution

The fourth proportional to 399.02, 598.33 and 167.85 is: 251.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.02 : 598.33 = 167.85 : x
  2. Step 2: Convert to fraction form
    399.02/598.33 = 167.85/x
  3. Step 3: Cross multiply
    399.02x = 598.33 × 167.85
  4. Step 4: Simplify right side
    399.02x = 100,429.69
  5. Step 5: Solve for x
    x = 100,429.69/399.02
  6. Step 6: Final answer
    x = 251.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.