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Finding the Fourth Proportional to 399.21, 598.46 and 155.56

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Solution

The fourth proportional to 399.21, 598.46 and 155.56 is: 233.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.21 : 598.46 = 155.56 : x
  2. Step 2: Convert to fraction form
    399.21/598.46 = 155.56/x
  3. Step 3: Cross multiply
    399.21x = 598.46 × 155.56
  4. Step 4: Simplify right side
    399.21x = 93,096.56
  5. Step 5: Solve for x
    x = 93,096.56/399.21
  6. Step 6: Final answer
    x = 233.20

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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.