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Finding the Fourth Proportional to 399.12, 599 and 155.76

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Solution

The fourth proportional to 399.12, 599 and 155.76 is: 233.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.12 : 599 = 155.76 : x
  2. Step 2: Convert to fraction form
    399.12/599 = 155.76/x
  3. Step 3: Cross multiply
    399.12x = 599 × 155.76
  4. Step 4: Simplify right side
    399.12x = 93,300.24
  5. Step 5: Solve for x
    x = 93,300.24/399.12
  6. Step 6: Final answer
    x = 233.76

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