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Finding the Fourth Proportional to 399.21, 598.82 and 155.85

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Solution

The fourth proportional to 399.21, 598.82 and 155.85 is: 233.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.21 : 598.82 = 155.85 : x
  2. Step 2: Convert to fraction form
    399.21/598.82 = 155.85/x
  3. Step 3: Cross multiply
    399.21x = 598.82 × 155.85
  4. Step 4: Simplify right side
    399.21x = 93,325.32
  5. Step 5: Solve for x
    x = 93,325.32/399.21
  6. Step 6: Final answer
    x = 233.78

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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.