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Finding the Fourth Proportional to 399.36, 599.19 and 155.95

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Solution

The fourth proportional to 399.36, 599.19 and 155.95 is: 233.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.36 : 599.19 = 155.95 : x
  2. Step 2: Convert to fraction form
    399.36/599.19 = 155.95/x
  3. Step 3: Cross multiply
    399.36x = 599.19 × 155.95
  4. Step 4: Simplify right side
    399.36x = 93,442.90
  5. Step 5: Solve for x
    x = 93,442.90/399.36
  6. Step 6: Final answer
    x = 233.98

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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.